Skocz do pozycji: 1.

Tytuł:

The algorithms of selected methods for the two-point boundary value problem for the equation - u + g(x)u = f(x)

Autorzy:

Kołodziejczyk, Janusz
Grabarski, Adam

Powiązania:

https://bibliotekanauki.pl/articles/747914.pdf

Data publikacji:

1990

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

Boundary value problems

Opis:

.
In this paper four algorithms of methods of approximate solution of the two-point boundary value problem for the equation - u” + g(x)u = f(x) are given and compared. The finite difference, collocation, finite element and collocation-Galerkin methods are considered. Numerical results are presented. For sufficiently regular functions u,f and g the finite difference method is the most effective.

Źródło:

Mathematica Applicanda; 1990, 18, 32
1730-2668
2299-4009

Pojawia się w:

Mathematica Applicanda

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 2.

Tytuł:

A non-element method of solving the two-dimensional Navier-Lamé equation in problems with non-homogeneous polygonal subregions

Autorzy:

Zieniuk, E.
Bołtuć, A.

Powiązania:

https://bibliotekanauki.pl/articles/1933185.pdf

Data publikacji:

2008

Wydawca:

Politechnika Gdańska

Tematy:

Navier-Lamé equation
boundary problems
subregions
PIES

Opis:

The paper introduces a parametric integral equation system (PIES) for solving 2D boundary problems defined on connected polygonal domains described by the Navier-Lame equation. Parametric linear functions were applied in the PIES to define analytically the polygonal subregions' interfaces. Only corner points and additional extreme points on the interface between the connected subregions are posed to practically define a polygonal domain. An important advantage of this approach is that the number of such points is independent of the area of identically shaped domains due to the elimination of traditional elements from modeling, the number of those elements being dependent on the domain's surface area. In order to test the reliability and effectiveness of the proposed method, test examples are included in which areas of displacements and stresses are analyzed in each subregion.

Źródło:

TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2008, 12, 1-2; 71-84
1428-6394

Pojawia się w:

TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 3.

Tytuł:

Stifness operator for boundary problems of structural analysis and several new variational formulations

Autorzy:

Zolotov, A. B.
Sidorov, V. N.
Akimov, P. A.
Mozgaleva, M. L.

Powiązania:

https://bibliotekanauki.pl/articles/402415.pdf

Data publikacji:

2010

Wydawca:

Politechnika Świętokrzyska w Kielcach. Wydawnictwo PŚw

Tematy:

stiffness operator
boundary problems
structural analysis
variational formulations

Opis:

So-called "stiffness operator" for boundary problems of structural analysis is introduced in the distinctive paper. There is a direct analogy between this stiffness operator and corresponding stiffness matrix of the considering structure in terms of finite element method. Namely we can consider stiffness operator as a limiting (continual) generalization of stiffness matrix. The explicit formulation of stiffness operator is presented. Several new variational formulations are discussed as well.

Źródło:

Structure and Environment; 2010, 2, 2; 9-13
2081-1500

Pojawia się w:

Structure and Environment

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 4.

Tytuł:

On a class of nonlinear ellipticequations in Hilbert spaces

Autorzy:

Fijałkowski, Piotr

Powiązania:

https://bibliotekanauki.pl/articles/1311662.pdf

Data publikacji:

1994

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

nonlinear elliptic boundary value problems

Opis:

We consider elliptic nonlinear equations in a separable Hilbert space and their solutions in spaces of Sobolev type.

Źródło:

Annales Polonici Mathematici; 1994, 59, 3; 203-213
0066-2216

Pojawia się w:

Annales Polonici Mathematici

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 5.

Tytuł:

Approximation of eigenvalues of nonselfadjoint problems on an infinite interval

Autorzy:

Regińska, Teresa

Powiązania:

https://bibliotekanauki.pl/articles/748435.pdf

Data publikacji:

1979

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

Linear boundary value problems,Linear equations,Eigenvalue problems

Opis:

W pracy badane są zagadnienia własne Lu=a u. Dowodzi się, iż wartości własne tego zagadnienia są aproksymowane przez wartości własne pewnych zagadnień własnych na przedziałach skończonych.
The author treats the problem of approximation of the eigenvalues of the nonselfadjoint problem Lu=λu, u(0)=0, u∈L2(0,∞), where L=−d2/dt2+p(x), domL={u∈L2(0,∞):du/dt continuous, d2u/dt2∈L2(0,∞), u(0)=0}. The same question for a selfadjoint problem was answered in the author's recent paper.

Źródło:

Mathematica Applicanda; 1979, 7, 14
1730-2668
2299-4009

Pojawia się w:

Mathematica Applicanda

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 6.

Tytuł:

Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')

Autorzy:

Erbe, L.
Krawcewicz, W.

Powiązania:

https://bibliotekanauki.pl/articles/1313250.pdf

Data publikacji:

1991

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

boundary value problems
differential inclusion
topological transversality

Opis:

Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.

Źródło:

Annales Polonici Mathematici; 1991, 54, 3; 195-226
0066-2216

Pojawia się w:

Annales Polonici Mathematici

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 7.

Tytuł:

Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems

Autorzy:

Kropielnicka, Karolina

Powiązania:

https://bibliotekanauki.pl/articles/745296.pdf

Data publikacji:

2005

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

initial boundary value problems
bicharacteristics
interpolating operators

Opis:

Classical solutions of mixed problems for first order partial functional differential systems in two independent variables are approximated in the paper with solutions of a difference problem of the Euler type. The mesh for the approximate solutions is obtained by a numerical solving of equations of bicharacteristics. The convergence of explicit difference schemes is proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of the Perron type. Differential systems with deviated variables and differential integral systems can be obtained from a general model by specializing given operators.

Źródło:

Commentationes Mathematicae; 2005, 45, 1
0373-8299

Pojawia się w:

Commentationes Mathematicae

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 8.

Tytuł:

Initial-boundary value problems for impulsive parabolic functional differential equations

Autorzy:

Bainov, D.
Kamont, Zdzisław
Minchev, E.

Powiązania:

https://bibliotekanauki.pl/articles/1339288.pdf

Data publikacji:

1996

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

initial-boundary value problems
impulsive parabolic equations

Opis:

Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.

Źródło:

Applicationes Mathematicae; 1996-1997, 24, 1; 1-15
1233-7234

Pojawia się w:

Applicationes Mathematicae

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 9.

Tytuł:

One boundary value problem including a spectral parameter in all boundary conditions

Autorzy:

Kabataş, Ayşe

Powiązania:

https://bibliotekanauki.pl/articles/29519516.pdf

Data publikacji:

2023

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

boundary value problems
asymptotics
Green’s functions

Opis:

In this paper, asymptotic formulae for solutions and Green’s function of a boundary value problem are investigated when the equation and the boundary conditions contain a spectral parameter.

Źródło:

Opuscula Mathematica; 2023, 43, 5; 651-661
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 10.

Tytuł:

The numerical solution of nonlinear two-point boundary value problems using iterated deferred correction - a survey

Autorzy:

Cash, J. R.

Powiązania:

https://bibliotekanauki.pl/articles/255625.pdf

Data publikacji:

2006

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

deferred correction
boundary value problems
conditioning
mesh selection

Opis:

The use of iterated deferred correction has proved to be a very efficient approach to the numerical solution of general first order systems of nonlinear two-point boundary value problems. In particular the two high order codes TWPBVP.f, based on mono-implicit Runge-Kutta (MIRK) formulae, and TWPBVPL.f based on Lobatto Runge-Kutta formulae as well as the continuation codes ACDC.f and COLMOD.f are now widely used. In this survey we describe some of the problems involved in the derivation of efficient deferred correction schemes. In particular we consider the construction of high order methods which preserve the stability of the underlying formulae, the choice of the mesh choosing algorithm which is based both on local accuracy and conditioning, and the computation of continuous solutions.

Źródło:

Opuscula Mathematica; 2006, 26, 2; 269-287
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 11.

Tytuł:

Riemann problem on the double of a multiply connected circular region

Autorzy:

Mityushev, V.

Powiązania:

https://bibliotekanauki.pl/articles/1294693.pdf

Data publikacji:

1997

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

boundary value problems on Riemann surfaces
functional equation

Opis:

The Riemann problem has been solved in [9] for an arbitrary closed Riemann surface in terms of the principal functionals. This paper is devoted to solution of the problem only for the double of a multiply connected region and can be treated as complementary to [9,1]. We obtain a complete solution of the Riemann problem in that particular case. The solution is given in analytic form by a Poincaré series.

Źródło:

Annales Polonici Mathematici; 1997, 67, 1; 1-14
0066-2216

Pojawia się w:

Annales Polonici Mathematici

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 12.

Tytuł:

Nontrivial critical points of asymptotically quadratic functions at resonances

Autorzy:

Fečkan, Michal

Powiązania:

https://bibliotekanauki.pl/articles/1294725.pdf

Data publikacji:

1997

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

weak solutions
boundary value problems
Morse-Conley index

Opis:

Asymptotically quadratic functions defined on Hilbert spaces are studied by using some results of the theory of Morse-Conley index. Applications are given to existence of nontrivial weak solutions for asymptotically linear elliptic partial and ordinary differential equations at resonances.

Źródło:

Annales Polonici Mathematici; 1997, 67, 1; 43-57
0066-2216

Pojawia się w:

Annales Polonici Mathematici

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 13.

Tytuł:

Multipliers in Sobolev spaces and exact convergence rate estimates for the finite-difference schemes

Autorzy:

Jovanović, Boško

Powiązania:

https://bibliotekanauki.pl/articles/1361062.pdf

Data publikacji:

1994

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

finite differences
multipliers
boundary-value problems
Sobolev spaces

Opis:

In this paper we present some recent results concerning convergence rate estimates for finite-difference schemes approximating boundary-value problems. Special attention is given to the problem of minimal smoothness of coefficients in partial differential equations necessary for obtaining the results.

Źródło:

Banach Center Publications; 1994, 29, 1; 165-173
0137-6934

Pojawia się w:

Banach Center Publications

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 14.

Tytuł:

Fractional problems with right-handed Riemann-Lioville fractional derivatives

Autorzy:

Jankowski, T.

Powiązania:

https://bibliotekanauki.pl/articles/1938600.pdf

Data publikacji:

2016

Wydawca:

Politechnika Gdańska

Tematy:

right-handed Riemann-Liouville fractional derivatives
nonlinear boundary problems
linear problems
existence of solutions
Mittag-Leffler functions

Opis:

In this paper, we investigate the existence of solutions for advanced fractional differential equations containing the right-handed Riemann-Liouville fractional derivative both with nonlinear boundary conditions and also with initial conditions given at the end point T of interval [0,T]. We use both the method of successive approximations, the Banach fixed point theorem and the monotone iterative technique, as well. Linear problems are also discussed. A few examples illustrate the results.

Źródło:

TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 1; 63-83
1428-6394

Pojawia się w:

TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 15.

Tytuł:

Existence results for delay second order differential inclusions

Autorzy:

Azzam-Laouir, Dalila
Haddad, Tahar

Powiązania:

https://bibliotekanauki.pl/articles/729461.pdf

Data publikacji:

2008

Wydawca:

Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii

Tematy:

boundary-value problems
delay differential inclusions
fixed point
retract

Opis:

In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.

Źródło:

Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2008, 28, 1; 133-146
1509-9407

Pojawia się w:

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 16.

Tytuł:

Solution of linear and non-linear boundary value problems using population-distributed parallel differential evolution

Autorzy:

Nasim, Amnah
Burattini, Laura
Fateh, Muhammad Faisal
Zameer, Aneela

Powiązania:

https://bibliotekanauki.pl/articles/91569.pdf

Data publikacji:

2019

Wydawca:

Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych

Tematy:

parallel evolutionary algorithms
differential evolution
boundary value problems
optimization

Opis:

Cases where the derivative of a boundary value problem does not exist or is constantly changing, traditional derivative can easily get stuck in the local optima or does not factually represent a constantly changing solution. Hence the need for evolutionary algorithms becomes evident. However, evolutionary algorithms are compute-intensive since they scan the entire solution space for an optimal solution. Larger populations and smaller step sizes allow for improved quality solution but results in an increase in the complexity of the optimization process. In this research a population-distributed implementation for differential evolution algorithm is presented for solving systems of 2nd-order, 2-point boundary value problems (BVPs). In this technique, the system is formulated as an optimization problem by the direct minimization of the overall individual residual error subject to the given constraint boundary conditions and is then solved using differential evolution in the sense that each of the derivatives is replaced by an appropriate difference quotient approximation. Four benchmark BVPs are solved using the proposed parallel framework for differential evolution to observe the speedup in the execution time. Meanwhile, the statistical analysis is provided to discover the effect of parametric changes such as an increase in population individuals and nodes representing features on the quality and behavior of the solutions found by differential evolution. The numerical results demonstrate that the algorithm is quite accurate and efficient for solving 2nd-order, 2-point BVPs.

Źródło:

Journal of Artificial Intelligence and Soft Computing Research; 2019, 9, 3; 205-218
2083-2567
2449-6499

Pojawia się w:

Journal of Artificial Intelligence and Soft Computing Research

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 17.

Tytuł:

Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations

Autorzy:

Auzinger, W.
Karner, E.
Koch, O.
Weinmuller, E.

Powiązania:

https://bibliotekanauki.pl/articles/255635.pdf

Data publikacji:

2006

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

polynomial collocation
singular boundary value problems
linear and nonlinear eigenvalue problems

Opis:

We demonstrate that eigenvalue problems for ordinary differential equations can be recast in a formulation suitable for the solution by polynomial collocation. It is shown that the well-posedness of the two formulations is equivalent in the regular as well as in the singular case. Thus, a collocation code equipped with asymptotically correct error estimation and adaptive mesh selection can be successfully applied to compute the eigenvalues and eigenfunctions efficiently and with reliable control of the accuracy. Numerical examples illustrate this claim.

Źródło:

Opuscula Mathematica; 2006, 26, 2; 229-241
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 18.

Tytuł:

An Influence of the Wall Acoustic Impedance on the Room Acoustics. The Exact Solution

Autorzy:

Brański, A.
Kocan-Krawczyk, A.
Prędka, E.

Powiązania:

https://bibliotekanauki.pl/articles/177084.pdf

Data publikacji:

2017

Wydawca:

Polska Akademia Nauk. Czytelnia Czasopism PAN

Tematy:

Fourier analysis
architectural acoustics
absorption coefficients
boundary-value problems

Opis:

The Fourier method is applied to the description of the room acoustics field with the combination of uniform impedance boundary conditions imposed on some walls. These acoustic boundary conditions are expressed by absorption coefficient values In this problem, the Fourier method is derived as the combination of three one-dimensional Sturm-Liouville (S-L) problems with Robin-Robin boundary conditions at the first and second dimension and Robin-Neumann ones at the third dimension. The Fourier method requires an evaluation of eigenvalues and eigenfunctions of the Helmholtz equation, via the solution of the eigenvalue equation, in all directions. The graphic-analytical method is adopted to solve it It is assumed that the acoustic force constitutes a monopole source and finally the forced acoustic field is calculated. As a novelty, it is demonstrated that the Fourier method provides a useful and efficient approach for a room acoustics with different values of wall impedances. Theoretical considerations are illustrated for rectangular cross-section of the room with particular ratio. Results obtained in the paper will be a point of reference to the numerical calculations.

Źródło:

Archives of Acoustics; 2017, 42, 4; 677-687
0137-5075

Pojawia się w:

Archives of Acoustics

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 19.

Tytuł:

On the dependence on parameters for second order discrete boundary value problems with the p(k)-Laplacian

Autorzy:

Smejda, J.
Wieteska, R.

Powiązania:

https://bibliotekanauki.pl/articles/952772.pdf

Data publikacji:

2014

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

discrete boundary value problems
variational methods
mountain pass theorem

Opis:

In this paper we study the existence and the nonexistence of solutions for the boundary value problems of a class of nonlinear second-order discrete equations depending on a parameter. Variational (the mountain pass technique) and non-variational methods are applied.

Źródło:

Opuscula Mathematica; 2014, 34, 4; 851-870
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 20.

Tytuł:

Reconstruction of potential and boundary conditions for second order difference equations

Autorzy:

Currie, Sonja
Love, Anne

Powiązania:

https://bibliotekanauki.pl/articles/962820.pdf

Data publikacji:

2018

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

Difference equations
inverse problem
boundary value problems
potential
eigenvalues

Opis:

Assume the eigenvalues and the weights are given for a difference boundary value problem and that the form of the boundary conditions at the endpoints is known. In particular, it is known whether the endpoints are fixed (i.e. Dirichlet or non-Dirichlet boundary conditions) or whether the endpoints are free to move (i.e. boundary conditions with affine dependence on the eigenparameter). This work illustrates how the potential as well as the exact boundary conditions can be uniquely reconstructed. The procedure is inductive on the number of unit intervals. This paper follows along the lines of S. Currie and A. Love, Inverse problems for difference equations with quadratic eigenparameter dependent boundary conditions, \emph{Quaestiones Mathematicae}, 40 (2017), no. 7, 861−877. Since the inverse problem considered in this paper contains more unknowns than the inverse problem considered in the above reference, an additional spectrum is required more often than was the case in the unique reconstruction of the potential alone.

Źródło:

Commentationes Mathematicae; 2018, 58, 1-2; 1-9
0373-8299

Pojawia się w:

Commentationes Mathematicae

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 21.

Tytuł:

Application of PIES and rectangular Bezier surfaces to complex and non-homogeneous problems of elasticity with body forces

Autorzy:

Boltuc, A.
Zieniuk, E.

Powiązania:

https://bibliotekanauki.pl/articles/1955310.pdf

Data publikacji:

2010

Wydawca:

Politechnika Gdańska

Tematy:

boundary problems
elasticity
body forces
non-homogeneous materials
Bezier surfaces
parametric integral equation system (PIES)

Opis:

This paper presents a variety of applications of an effective way to solve boundary value problems of 2D elasticity with body forces. An overview of the approach is presented, its numerical implementation, as well as a number of applications, ranging from problems defined on elementary shapes to complex problems, e.g. with non-homogeneous material. The results obtained by the parametric integral equation system (PIES) were compared with the analytical and numerical solutions obtained by other computer methods, confirming the effectiveness of the method and its applicability to a variety of problems.

Źródło:

TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2010, 14, 4; 363-376
1428-6394

Pojawia się w:

TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 22.

Tytuł:

Solving boundary value problems in the open source software R: package bvpSolve

Autorzy:

Mazzia, F.
Cash, J. R.
Soetaert, K.

Powiązania:

https://bibliotekanauki.pl/articles/255850.pdf

Data publikacji:

2014

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

ordinary differential equations
boundary value problems
singular perturbation problems
test problems
Fortran
R

Opis:

The R package bvpSolve for the numerical solution of Boundary Value Problems (BVPs) is presented. This package is free software which is distributed under the GNU General Public License, as part of the R open source software project. It includes some well known codes to solve boundary value problems of ordinary differential equations (ODEs) and differential algebraic equations (DAEs). In addition to the packages already available for solving initial value problems, the new package now allows non expert users to efficiently solve boundary value problems in the problem solving environment R.

Źródło:

Opuscula Mathematica; 2014, 34, 2; 387-403
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 23.

Tytuł:

Linear Sturm-Liouville problems with Riemann- Stieltjes integral boundary conditions

Autorzy:

Kong, Q.
George, T. E. S.

Powiązania:

https://bibliotekanauki.pl/articles/254797.pdf

Data publikacji:

2018

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

nodal solutions
integral boundary value problems
Sturm-Liouville problems
eigenvalues
matching method

Opis:

We study second-order linear Sturm-Liouville problems involving general homogeneous linear Riemann-Stieltjes integral boundary conditions. Conditions are obtained for the existence of a sequence of positive eigenvalues with consecutive zero counts of the eigenfunctions. Additionally, we find interlacing relationships between the eigenvalues of such Sturm-Liouville problems and those of Sturm-Liouville problems with certain two-point separated boundary conditions.

Źródło:

Opuscula Mathematica; 2018, 38, 4; 557-571
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 24.

Tytuł:

Sensitivity analysis of the crystallization model with respect to cooling conditions

Autorzy:

Szopa, R.
Tuzikiewicz, W.
Siedlecki, J.

Powiązania:

https://bibliotekanauki.pl/articles/122352.pdf

Data publikacji:

2013

Wydawca:

Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej

Tematy:

moving boundary problems
crystallization of pure metals
sensitivity analysis
numerical methods
analiza wrażliwości
metody numeryczne

Opis:

In the paper the pure metal crystallization process is considered. The cooling conditions of the metal domain are determined by the mould dimensions and thermophysical parameters of the mould material (volumetric specific heat and thermal conductivity). The mathematical model of heat transfer processes proceeding in the system metal – mould is created by the system of heat diffusion partial differential equations corresponding to the sub-domains considered supplemented by the adequate geometrical, physical and boundary-initial conditions. The sensitivity model determining the perturbations of thermal processes due to the perturbations of cooling processes can be constructed using the direct approach (differentiation with respect to parameters analyzed) or using the differential quotients. Both approaches will be discussed in the paper presented.

Źródło:

Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 115-122
2299-9965

Pojawia się w:

Journal of Applied Mathematics and Computational Mechanics

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 25.

Tytuł:

Methods of solving operator eigenproblems in parallel distributed memory systems as applied in electromagnetics

Autorzy:

Rewieński, M.

Powiązania:

https://bibliotekanauki.pl/articles/1953952.pdf

Data publikacji:

1998

Wydawca:

Politechnika Gdańska

Tematy:

operator eigenproblems
parallel numerical methods
computational electromagnetics
boundary value problems

Opis:

This study presents numerical methods of solving operator eigenproblems, focusing on their applications in electromagnetics. The discussion concentrates on the analysis of new iterative algorithms or modifications of the existing ones, which are capable of finding a few eigenvalues from the point spectrum of a non-symmetric operator. The salient feature of the considered methods is a low computational cost and memory complexity as compared to alternative solutions. This paper also presents implementations of the investigated algorithms in parallel distributed memory systems, based on the message-passing parallel programming model and providing portable parallel eigensolvers. The discussion of the applied designs of the parallel algorithms is supported by the presentation of the results of performance tests in selected distributed memory environments, including scalable parallel supercomputer systems and networks of workstations. The results of these tests confirm high efficiency of the eigensolvers in the considered parallel environments. In this study attention is also drawn to the question of the applicability of the eigensolvers to problems of modelling of electromagnetic fields in dielectric waveguides. The results of numerical tests validating the methods in these applications determine the scope of problems which may be most effectively solved using the specific eigensolvers.

Źródło:

TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 1998, 2, 4; 611-731
1428-6394

Pojawia się w:

TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 26.

Tytuł:

H^(-1) Galerkin-collocation method with quadratures for two point boundary value problems

Autorzy:

Leyk, Zbigniew

Powiązania:

https://bibliotekanauki.pl/articles/747667.pdf

Data publikacji:

1989

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

Finite elements, Rayleigh-Ritz, Galerkin and collocation
Boundary value problems

Opis:

.
In the paper, the H^(-1)Galerkin-collocation method with quadratures (instead of integrals) for two point boundary value problems is considered. Approximate solution is a piecewise polynomial of degree r. It is proved that the method is stable and the error in L2-norm is of order O(h^(r+1)) if the used quadrature is exact for polynomial of degree not greater than r+1.

Źródło:

Mathematica Applicanda; 1989, 17, 31
1730-2668
2299-4009

Pojawia się w:

Mathematica Applicanda

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 27.

Tytuł:

The gradient projection method for solving an optimal control problem

Autorzy:

Farag, M.

Powiązania:

https://bibliotekanauki.pl/articles/1339270.pdf

Data publikacji:

1997

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

distributed parameter systems
boundary value problems
gradient methods
optimal control

Opis:

A gradient method for solving an optimal control problem described by a parabolic equation is considered. The gradient projection method is applied to solve the problem. The convergence of the projection algorithm is investigated.

Źródło:

Applicationes Mathematicae; 1996-1997, 24, 2; 141-147
1233-7234

Pojawia się w:

Applicationes Mathematicae

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 28.

Tytuł:

A Boundary-Value Problem for Linear Pdaes

Autorzy:

Marszałek, W.
Trzaska, Z.

Powiązania:

https://bibliotekanauki.pl/articles/908511.pdf

Data publikacji:

2002

Wydawca:

Uniwersytet Zielonogórski. Oficyna Wydawnicza

Tematy:

matematyka
differential algebraic equations
boundary value problems
linear multivariable systems

Opis:

We analyze a boundary-value problem for linear partial differential algebraic equations, or PDAEs, by using the method of the separation of variables. The analysis is based on the Kronecker-Weierstrass form of the matrix pencil [A,-ln B]. A new theorem is proved and two illustrative examples are given.

Źródło:

International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 487-491
1641-876X
2083-8492

Pojawia się w:

International Journal of Applied Mathematics and Computer Science

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 29.

Tytuł:

The Voronovskaya type theorem for Poisson integrals of functions of two variables

Autorzy:

Krech, Grażyna

Powiązania:

https://bibliotekanauki.pl/articles/746711.pdf

Data publikacji:

2013

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

Poisson integral, Hermite expansions, Laguerre expansions, Voronovskaya theorem, boundary value problems

Opis:

The aim of this paper is the study the Voronovskaya type theorem for Poisson integrals of functions of two variables for Hermite and Laguerre expansions. We also present some boundary value problems related to these integrals.

Źródło:

Commentationes Mathematicae; 2013, 53, 1
0373-8299

Pojawia się w:

Commentationes Mathematicae

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 30.

Tytuł:

Superconvergence effect in finite element methods for two-point boundary value problems

Autorzy:

Regińska, Teresa

Powiązania:

https://bibliotekanauki.pl/articles/747715.pdf

Data publikacji:

1987

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

Boundary value problems
Finite elements, Rayleigh-Ritz, Galerkin and collocation methods

Opis:

.
Approximate methods for solving two-point boundary value problems are considered. The aim of the paper is to explain superconvergence effect in the methods using finite element spaces. The existence of a class of the methods with the superconvergence property is demonstrated. Detailed proofs of superconvergence are presented for the case of the Galerkin method (due to Douglas and Dupont results) and for some example of external method.

Źródło:

Mathematica Applicanda; 1987, 16, 30
1730-2668
2299-4009

Pojawia się w:

Mathematica Applicanda

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 31.

Tytuł:

On solutions of integral equations with analytic kernels and rotations

Autorzy:

Nguyen, Mau
Nguyen, Tuan

Powiązania:

https://bibliotekanauki.pl/articles/1311183.pdf

Data publikacji:

1996

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

integral operators
singular integral equations
algebraic operators
Riemann boundary value problems

Opis:

We deal with a class of integral equations on the unit circle in the complex plane with a regular part and with rotations of the form (*)     x(t) + a(t)(Tx)(t) = b(t), where $T = M_{n₁,k₁} ... M_{n_m,k_m}$ and $M_{n_j,k_j}$ are of the form (3) below. We prove that under some assumptions on analytic continuation of the given functions, (*) is a singular integral equation for m odd and is a Fredholm equation for m even. Further, we prove that T is an algebraic operator with characteristic polynomial $P_T(t) = t³ - t$. By means of the Riemann boundary value problems, we give an algebraic method to obtain all solutions of equation (*) in closed form.

Źródło:

Annales Polonici Mathematici; 1996, 63, 3; 293-300
0066-2216

Pojawia się w:

Annales Polonici Mathematici

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 32.

Tytuł:

Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities

Autorzy:

Chidouh, A.
Torres, D. F. M.

Powiązania:

https://bibliotekanauki.pl/articles/255913.pdf

Data publikacji:

2018

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

fractional difference equations
Lyapunov-type inequalities
fractional boundary value problems
positive solutions

Opis:

We prove existence of positive solutions to a boundary value problem depending on discrete fractional operators. Then, corresponding discrete fractional Lyapunov-type inequalities are obtained.

Źródło:

Opuscula Mathematica; 2018, 38, 1; 31-40
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 33.

Tytuł:

Generalized solutions of first order partial differential functional inequalities

Autorzy:

Czernous, Wojciech

Powiązania:

https://bibliotekanauki.pl/articles/746208.pdf

Data publikacji:

2006

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

initial boundary value problems
partial functional differential inequalities
Carathéodory solutions
uniqueness
bicharacteristics

Opis:

The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.

Źródło:

Commentationes Mathematicae; 2006, 46, 1
0373-8299

Pojawia się w:

Commentationes Mathematicae

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 34.

Tytuł:

Initial boundary value problems for vortex motion of an ideal fluid in bounded domains

Autorzy:

Szmidt, K.

Powiązania:

https://bibliotekanauki.pl/articles/241010.pdf

Data publikacji:

2001

Wydawca:

Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN

Tematy:

vortex motion
incompressible perfect fluid
bounded domains
boundary value problems
water wave

Opis:

The paper deals with the problem of vortex motion of an incompressible perfect fluid in bounded domains. The research is confined to chosen cases of steady velocity fields within rectangular, circular and elliptic regions with rigid boundaries. The solution to the initial-value problem of the fluid flow for the assumed velocity fields is the primary object of this paper. It is demonstrated that individual particles of the fluid have their own periods of motion and thus, one should be careful in describing such problems by means of discrete methods, especially in the Lagrangian variables. The problem discussed has its origin in numerical analysis of water waves by means of the finite difference or the finite element method.

Źródło:

Archives of Hydro-Engineering and Environmental Mechanics; 2001, 48, 1; 19-33
1231-3726

Pojawia się w:

Archives of Hydro-Engineering and Environmental Mechanics

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 35.

Tytuł:

On a semilinear elliptic eigenvalue problem

Autorzy:

Coclite, Mario

Powiązania:

https://bibliotekanauki.pl/articles/1294623.pdf

Data publikacji:

1997

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

semilinear elliptic equations
nonlinear boundary-value problems
positive solutions
supersolution and subsolution method

Opis:

We obtain a description of the spectrum and estimates for generalized positive solutions of -Δu = λ(f(x) + h(u)) in Ω, $u|_{∂Ω} = 0$, where f(x) and h(u) satisfy minimal regularity assumptions.

Źródło:

Annales Polonici Mathematici; 1997, 67, 3; 289-295
0066-2216

Pojawia się w:

Annales Polonici Mathematici

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 36.

Tytuł:

Gradient method for non-injective operators in Hilbert space with application to Neumann problems

Autorzy:

Karátson, János

Powiązania:

https://bibliotekanauki.pl/articles/1338793.pdf

Data publikacji:

1999

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

Neumann boundary value problems
non-injective non-linear operator
gradient method
Hilbert space

Opis:

The gradient method is developed for non-injective non-linear operators in Hilbert space that satisfy a translation invariance condition. The focus is on a class of non-differentiable operators. Linear convergence in norm is obtained. The method can be applied to quasilinear elliptic boundary value problems with Neumann boundary conditions.

Źródło:

Applicationes Mathematicae; 1999, 26, 3; 333-346
1233-7234

Pojawia się w:

Applicationes Mathematicae

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 37.

Tytuł:

Superlinear elliptic systems with distributed and boundary controls

Autorzy:

Bors, D.

Powiązania:

https://bibliotekanauki.pl/articles/970975.pdf

Data publikacji:

2005

Wydawca:

Polska Akademia Nauk. Instytut Badań Systemowych PAN

Tematy:

zagadnienie brzegowe
stabilność
metoda wariacyjna
boundary value problems
continuous dependence
stability
variational methods

Opis:

The paper investigates the nonlinear partial differential equations of the superlinear elliptic type with the Dirichlet boundary data. Some sufficient conditions, under which the solutions of considered equations depend continuously on distributed and boundary controls, are proved. The proofs of the main results are based on variational methods.

Źródło:

Control and Cybernetics; 2005, 34, 4; 987-1004
0324-8569

Pojawia się w:

Control and Cybernetics

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 38.

Tytuł:

Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications

Autorzy:

El Amrouss, Abdelrachid
Hammouti, Omar

Powiązania:

https://bibliotekanauki.pl/articles/2051984.pdf

Data publikacji:

2021

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

discrete boundary value problems
2n-th order
variational methods
critical point theory

Opis:

Let $n \in N^{\star}$, and $N \geq n$ be an integer. We study the spectrum of discrete linear $2n$-th order eigenvalue problems \[ \begin{cases} \Sigma_{k=0}^{n}(-1)^{k} \Delta^{2k} u(t-k) = \lambda{}u(t), & t \in[1,N]_{\mathbb{Z}} \\ \Delta^{i}u(-(n-1)) = \Delta^{i}u(N-(n-1)), & i \in[0, 2n-1]_{\mathbb{Z}} \end{cases} \] where A is a parameter. As an application of this spectrum result, we show the existence of a solution of discrete nonlinear $2n$-th order problems by applying the variational methods and critical point theory.

Źródło:

Opuscula Mathematica; 2021, 41, 4; 489-507
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 39.

Tytuł:

On the Lebesgue and Sobolev spaces on a time-scale

Autorzy:

Skrzypek, Ewa
Szymańska-Dębowska, Katarzyna

Powiązania:

https://bibliotekanauki.pl/articles/255732.pdf

Data publikacji:

2019

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

Lebesgue spaces
Sobolev spaces
modular spaces
time-scales
boundary value problems on time-scales

Opis:

We consider the generalized Lebesgue and Sobolev spaces on a bounded time-scale. We study the standard properties of these spaces and compare them to the classical known results for the Lebesgue and Sobolev spaces on a bounded interval. These results provide the necessary framework for the study of boundary value problems on bounded time-scales.

Źródło:

Opuscula Mathematica; 2019, 39, 5; 705-731
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 40.

Tytuł:

On a nonlinear second order periodic boundaryvalue problem with Carathéodory functions

Autorzy:

Gao, Wenjie
Wang, Junyu

Powiązania:

https://bibliotekanauki.pl/articles/1311418.pdf

Data publikacji:

1995

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

two-point boundary value problems
upper and lower solutions
Nagumo condition
existence
Carathéodory functions

Opis:

The periodic boundary value problem u''(t) = f(t,u(t),u'(t)) with u(0) = u(2π) and u'(0) = u'(2π) is studied using the generalized method of upper and lower solutions, where f is a Carathéodory function satisfying a Nagumo condition. The existence of solutions is obtained under suitable conditions on f. The results improve and generalize the work of M.-X. Wang et al. [5].

Źródło:

Annales Polonici Mathematici; 1995, 62, 3; 283-291
0066-2216

Pojawia się w:

Annales Polonici Mathematici

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 41.

Tytuł:

Boundary value problems for Poisson integrals for Hermite expansions

Autorzy:

Krech, G.

Powiązania:

https://bibliotekanauki.pl/articles/121732.pdf

Data publikacji:

2014

Wydawca:

Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane

Tematy:

zagadnienia brzegowe
całka Poissona
wielomiany Hermite'a
boundary value problems
Poisson integral
Hermite expansions

Opis:

The aim of this paper is the study the Poisson integral for Hermite expansions. We present some boundary value problems related to this integral and its various modifications.

Źródło:

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2014, 19; 189-193
2450-9302

Pojawia się w:

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 42.

Tytuł:

Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions

Autorzy:

R., D.
Wang, Haiyan

Powiązania:

https://bibliotekanauki.pl/articles/1294312.pdf

Data publikacji:

1998

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

nonlinear boundary value problems
multiplicity of positive solutions
upper and lower solutions
degree theory

Opis:

We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.

Źródło:

Annales Polonici Mathematici; 1998, 69, 2; 155-165
0066-2216

Pojawia się w:

Annales Polonici Mathematici

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 43.

Tytuł:

Boundary value problems with solutions

Autorzy:

Herzog, Gerd
Kunstmann, Peer Chr.

Powiązania:

https://bibliotekanauki.pl/articles/256054.pdf

Data publikacji:

2019

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

Dirichlet boundary value problems solutions in convex sets
continuation method
ordered Banach spaces
concave solutions

Opis:

By means of the continuation method for contractions we prove the existence of solutions of Dirichlet boundary value problems in convex sets. As an application we prove the existence of concave solutions of certain boundary value problems in ordered Banach spaces.

Źródło:

Opuscula Mathematica; 2019, 39, 1; 49-60
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 44.

Tytuł:

Multiple solutions to third-order differential equations with derivative dependence and deviating arguments

Autorzy:

Jankowski, T.

Powiązania:

https://bibliotekanauki.pl/articles/1938599.pdf

Data publikacji:

2016

Wydawca:

Politechnika Gdańska

Tematy:

boundary value problems with deviating arguments
Stieltjes integral boundary conditions
cone
existence of positive solutions
fixed point theorem

Opis:

In this paper, we give some new results for multiplicity of positive (nonnegative) solutions for third-order differential equations with derivative dependence, deviating arguments and Stieltjes integral boundary conditions. We discuss our problem with advanced argument α and arbitrary β ∈ C([0,1],[0,1]), see problem (2). It means that argument β can change the character on [0,1], so β can be delayed in some set J¯⊂ [0,1] and advanced in [0,1] \ J¯. Four examples illustrate the main results.

Źródło:

TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 1; 85-98
1428-6394

Pojawia się w:

TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk

Dostawca treści:

Biblioteka Nauki

/5

Artykuł

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Skocz do pozycji: 45.

Tytuł:

Difference functional inequalities and applications

Autorzy:

Szafrańska, A.

Powiązania:

https://bibliotekanauki.pl/articles/255602.pdf

Data publikacji:

2014

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

initial boundary value problems
difference functional inequalities
difference methods
stability and convergence
interpolating operators
error estimates

Opis:

The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.

Źródło:

Opuscula Mathematica; 2014, 34, 2; 405-423
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 46.

Tytuł:

An analysis of the exterior Neumann problem for the Poisson equation in connection with a numerical procedure

Autorzy:

Roliński, Tomasz

Powiązania:

https://bibliotekanauki.pl/articles/747373.pdf

Data publikacji:

1993

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

Boundary element methods
Boundary value problems for second-order elliptic equations
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

Opis:

.
This paper is concerned with transforming the exterior problem Δu=f on Ωc, (∂u/∂n)|Γ=g, where ΩR2 is a bounded region and Ω^(c)=int(R2\Ω), into a problem represented by two equations. The first one is posed on a bounded domain and the second one is posed on the outer part of the boundary of the domain. This new problem is suitable for a numerical method based on coupling the finite and boundary element methods.

Źródło:

Mathematica Applicanda; 1993, 22, 36
1730-2668
2299-4009

Pojawia się w:

Mathematica Applicanda

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 47.

Tytuł:

Asymptotic of weak solutions for linear elliptic nonlocal Robin problem without Dini-continuity condition in a plane angle domain

Autorzy:

Żyjewski, Krzysztof

Powiązania:

https://bibliotekanauki.pl/articles/960139.pdf

Data publikacji:

2017

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

boundary value problems
weak solutions
second order elliptic linear equations
nonlocal Robin problem
corner points
Dini-continuity

Opis:

We investigate the behaviour of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighbourhood of the boundary corner point. We find the exponent of the solution decreasing rate under the assumption that the leading coefficients of the equations do not satisfy the Dini-continuity condition.

Źródło:

Commentationes Mathematicae; 2017, 57, 1
0373-8299

Pojawia się w:

Commentationes Mathematicae

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 48.

Tytuł:

The existence of solution for boundary value problems for differential equations with deviating arguments and p-Laplacian

Autorzy:

Liu, Bing
Yu, Jianshe

Powiązania:

https://bibliotekanauki.pl/articles/1207894.pdf

Data publikacji:

2000

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

a priori bounds
boundary value problems
existence theorems
differential equations with deviating arguments
Leray-Schauder degree
p-Laplacian

Opis:

We consider a boundary value problem for a differential equation with deviating arguments and p-Laplacian: $-(ϕ_{p}(x'))' + d/dt grad F(x) + g(t,x(t),x(δ(t))$, x'(t), x'(τ(t))) = 0, t ∈ [0,1]; $x(t)=\underline{φ}(t),$ t ≤ 0; $x(t) = \overline{φ}(t)$, t ≥ 1. An existence result is obtained with the help of the Leray-Schauder degree theory, with no restriction on the damping forces d/dt grad F(x).

Źródło:

Annales Polonici Mathematici; 2000, 75, 3; 271-280
0066-2216

Pojawia się w:

Annales Polonici Mathematici

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 49.

Tytuł:

Existence of solutions for a multivalued boundary value problem with non-convex and unbounded right-hand side

Autorzy:

Averna, Diego
Bonanno, Gabriele

Powiązania:

https://bibliotekanauki.pl/articles/1294053.pdf

Data publikacji:

1999

Wydawca:

Polska Akademia Nauk. Instytut Matematyczny PAN

Tematy:

multivalued differential inclusions
boundary value problems
non-convex and unbounded right-hand side
directional continuous selections
implicit equations

Opis:

Let $F:[a,b] × ℝ^n × ℝ^n → 2^{ℝ^n}$ be a multifunction with possibly non-convex and unbounded values. The main result of this paper (Theorem 1) asserts that, given the multivalued boundary value problem ($P_F$)    {u'' ∈ F(t,u,u'), u(a) = u(b) = ϑ_{ℝ^n}, if an appropriate restriction of the multifunction F has non-empty and closed values and satisfies the lower Scorza Dragoni property and a weak integrable boundedness type condition, then we can substitute the problem ($P_F$) with another one ($P_G$), with a suitable convex right-hand side G, such that every generalized solution of ($P_G$) is also a generalized solution of ($P_F$) (see also Remark 1 and Corollary 1). As a consequence of our results, in conjunction with those in [13] and [18], some existence theorems for multivalued boundary value problems are then presented (see Theorem 2, Corollary 2 and Theorem 3). Finally, some applications are given to the existence of generalized solutions for two implicit boundary value problems (Theorems 4-6).

Źródło:

Annales Polonici Mathematici; 1999, 71, 3; 253-271
0066-2216

Pojawia się w:

Annales Polonici Mathematici

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 50.

Tytuł:

Multiple solutions of boundary value problems on time scales for φ-laplacian operator

Autorzy:

Amster, Pablo
Kuna, Mariel Paula
Santos, Dionicio Pastor

Powiązania:

https://bibliotekanauki.pl/articles/255690.pdf

Data publikacji:

2020

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

dynamic equations on time scales
nonlinear boundary value problems
upper and lower solutions
Leray-Schauder degree
multiple solutions

Opis:

We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a y-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray-Schauder degree. The results extend and improve known results for analogous problems with discrete p-Laplacian as well as those for boundary value problems on time scales.

Źródło:

Opuscula Mathematica; 2020, 40, 4; 405-425
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 51.

Tytuł:

Implicit difference methods for infinite systems of hyperbolic functional differential equations

Autorzy:

Szafrańska, Anna

Powiązania:

https://bibliotekanauki.pl/articles/745990.pdf

Data publikacji:

2010

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

initial boundary value problems
difference functional equations
difference methods
stability and convergence
interpolating operators
nonlinear estimates of the Perron type

Opis:

The paper deal with classical solutions of initial boundary value problems for infinite systems of nonlinear differential functional equations. Two types of difference schemes are constructed. First we show that solutions of our differential problem can be approximated by solutions of infinite difference functional schemes. In the second part of the paper we proof that solutions of finite difference systems approximate the solutions of aur differential problem. We give a complete convergence analysis for both types of difference methods. We adopt nonlinear estimates of the Perron type for given functions with respect to the functional variable. The proof of the stability is based on the comparison technique. Numerical examples are presented.

Źródło:

Commentationes Mathematicae; 2010, 50, 1
0373-8299

Pojawia się w:

Commentationes Mathematicae

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 52.

Tytuł:

Some boundary value problems for a micropolar porous elastic body

Autorzy:

Janjgava, R.
Gulua, B.
Tsotniashvili, S.

Powiązania:

https://bibliotekanauki.pl/articles/38610598.pdf

Data publikacji:

2020

Wydawca:

Instytut Podstawowych Problemów Techniki PAN

Tematy:

materials with voids
Cosserat elastic media
theory of microstretch
boundary value problems
circle and infinite plane with a circular hole

Opis:

The paper reviews the static equilibrium of a micropolar porous elastic material. We assume that the body under consideration is an elastic Cosserat media with voids, however, it can also be considered as an elastic microstretch solid, since the basic differential equations and mathematical formulations of boundary value problems in these two cases are actually identical. As regards the three-dimensional case, the existence and uniqueness of a weak solution of some boundary value problems are proved. The two-dimensional system of equations corresponding to a plane deformation case is written in a complex form and its general solution is presented with the use of two analytic functions of a complex variable and two solutions of the Helmholtz equations. On the basis of the constructed general representation, specific boundary value problems are solved for a circle and an infinite plane with a circular hole.

Źródło:

Archives of Mechanics; 2020, 72, 6; 485-509
0373-2029

Pojawia się w:

Archives of Mechanics

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 53.

Tytuł:

Analytical solution of mixed boundary value problems using the displacement potential approach for the case of plane stress and plane strain conditions

Autorzy:

Deb Nath, S. K.

Powiązania:

https://bibliotekanauki.pl/articles/266247.pdf

Data publikacji:

2017

Wydawca:

Uniwersytet Zielonogórski. Oficyna Wydawnicza

Tematy:

rozwiązanie analityczne
naprężenie płaskie
odkształcenie
wartość graniczna
analytical solution
displacement potential approach
plane stress and plane strain conditions
mixed boundary value problems

Opis:

Two elastic plate problems made of duralumin are solved analytically using the displacement potential approach for the case of plane strain and plane stress conditions. Firstly, a one end fixed plate is considered in which the rest of the edges are stiffened and a uniform load is applied to the opposite end of the fixed end. Secondly, a plate is considered in which all of the edges are stiffened and a uniform tension is applied at its both ends. Solutions to both of the problems are presented for the case of plane stress and plane strain conditions. The effects of plane stress and plane strain conditions on the solutions are explained. In the case of stiffening of the edges of the plate, the shape of the plate does not change abruptly, which is clearly observed in both of the cases. For the plane strain condition, the plates become stiffer in the loading direction as compared to the plane stress condition. For the plane strain condition, there is a significant variation of the normal stress component, σzz at different sections of the plate. The graphical results, clearly identify the critical regions of the plate for the case of the plane stress and plane strain condition.

Źródło:

International Journal of Applied Mechanics and Engineering; 2017, 22, 2; 269-291
1734-4492
2353-9003

Pojawia się w:

International Journal of Applied Mechanics and Engineering

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 54.

Tytuł:

Entropy generation minimization in steady-state and transient diffusional heat conduction processes Part I – Steady-state boundary value problem

Autorzy:

Kolenda, Z. S.
Szmyd, J. S.
Huber, J.

Powiązania:

https://bibliotekanauki.pl/articles/200901.pdf

Data publikacji:

2014

Wydawca:

Polska Akademia Nauk. Czytelnia Czasopism PAN

Tematy:

heat conduction
entropy generation
boundary value problems
Euler-Lagrange variational equation
przewodzenia ciepła
generacja entropii
problemy granica -wartość
wariacyjne równanie Eulera-Lagrange'a

Opis:

An application of the Entropy Generation Minimization principle allows new formulation of the boundary and initial boundaryvalue problems. Applying Euler-Lagrange variational formalism new mathematical form of heat conduction equation describing steady-state processes have been derived. Mathematical method presented in the paper can also be used for any diffusion heat and mass transfer process. Linear and non-linear problems with internal heat sources have been analyzed.

Źródło:

Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 4; 875-882
0239-7528

Pojawia się w:

Bulletin of the Polish Academy of Sciences. Technical Sciences

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 55.

Tytuł:

Quartic non-polynomial spline solution for solving two-point boundary value problems by using Conjugate Gradient iterative method

Autorzy:

Justine, H.
Chew, J. V. L.
Sulaiman, J.

Powiązania:

https://bibliotekanauki.pl/articles/122546.pdf

Data publikacji:

2017

Wydawca:

Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej

Tematy:

two-point boundary value problems
quartic non-polynomial spline
Conjugate Gradient
Successive Over-Relaxation
Gauss-Seidel
dwupunktowe problemy brzegowe
metoda gradientu sprzężonego
metoda Gaussa-Seidela
metoda iteracyjna

Opis:

Solving two-point boundary value problems has become a scope of interest among many researchers due to its significant contributions in the field of science, engineering, and economics which is evidently apparent in many previous literary publications. This present paper aims to discretize the two-point boundary value problems by using a quartic non-polynomial spline before finally solving them iteratively with Conjugate Gradient (CG) method. Then, the performances of the proposed approach in terms of iteration number, execution time and maximum absolute error are compared with Gauss-Seidel (GS) and Successive Over-Relaxation (SOR) iterative methods. Based on the performances analysis, the two-point boundary value problems are found to have the most favorable results when solved using CG compared to GS and SOR methods.

Źródło:

Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 1; 41-50
2299-9965

Pojawia się w:

Journal of Applied Mathematics and Computational Mechanics

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 56.

Tytuł:

Weighted difference schemes for systems of quasilinear first order partial functional differential equations

Autorzy:

Szafrańska, Anna

Powiązania:

https://bibliotekanauki.pl/articles/747972.pdf

Data publikacji:

2015

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

initial boundary value problems, difference methods, stability and convergence, interpolating operators, error estimates, comparison methods
zagadnienia początkowo-brzegowe, metody różnicowe, stabilność i zbieżność, operatory interpolacyjne, oszacowanie błędu, metody porównawcze.

Opis:

Praca dotyczy zagadnien poczatkowo brzegowych typu Dirichlet’a dlaukładów quasiliniowych równan rózniczkowo-funkcyjnych. Zamieszczona jest konstrukcjawazonych metod róznicowych dla wyjsciowych zagadnien rózniczkowychoraz przeprowadzona jest pełna analiza zbieznosci. Niezbedne załozenia obejmujaoszacowania typu Perrona dla funkcji danych wzgledem argumentów funkcyjnych.Dowód stabilnosci metody róznicowej opiera sie na technice porównawczej. Teoretycznerezultaty zobrazowane sa na przykładzie całkowego równania rózniczkowegooraz równan rózniczkowych z odchylonym argumentem.
The paper deals with initial boundary value problems of the Dirichlet type for system of quasilinear functional differential equations.We investigate weighted difference methods for these problems.A complete convergence analysis of the considered difference methods is given. Nonlinear estimates of the Perron type with respect to functional variables for given functions are assumed. The proof of the stability of difference problems is based on a comparison technique. The results obtained here can be applied to differential integral problems and differential equations with deviated variables.Numerical examples are presented.

Źródło:

Mathematica Applicanda; 2015, 43, 2
1730-2668
2299-4009

Pojawia się w:

Mathematica Applicanda

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 57.

Tytuł:

Traveling waves in media with diffusion

Autorzy:

Kaźmierczak, Bogdan

Powiązania:

https://bibliotekanauki.pl/articles/747755.pdf

Data publikacji:

2005

Wydawca:

Polskie Towarzystwo Matematyczne

Tematy:

Reaction-diffusion equations, Boundary value problems for parabolic systems,Index theory, Morse-Conley indices, Homoclinic and heteroclinic orbits, Ionized gas flow in electromagnetic fields
plasmic flow, Physiological flow

Opis:

In this paper, we discuss traveling wave solutions for equations that model nonlinear media with diffusion. Such solutions can also describe, for example, the propagation of heteroclinic fronts or impulses (medium excitations). We present several examples of processes in which the notion of a traveling wave captures the essence of the analytical phenomena, including plasma sustained by a laser beam, phase transitions in van der Waals fluids, skin morphogenesis, and the DNA-RNA transcription process.

Źródło:

Mathematica Applicanda; 2005, 33, 47/06
1730-2668
2299-4009

Pojawia się w:

Mathematica Applicanda

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 58.

Tytuł:

Singular elliptic problems with Dirichlet or mixed Dirichlet-Neumann non-homogeneous boundary conditions

Autorzy:

Godoy, Tomas

Powiązania:

https://bibliotekanauki.pl/articles/29519241.pdf

Data publikacji:

2023

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

singular elliptic problems
mixed boundary conditions
weak solutions

Opis:

Let Ω be a $ C^2 $ bounded domain in $ R^n $ such that $ ∂Ω = Γ_1 ∪ Γ_2 $, where $ Γ_1 $ and $ Γ_2 $ are disjoint closed subsets of ∂Ω, and consider the problem −Δu = g(·, u) in Ω, u = τ on $ Γ_1 $, $ \frac{∂u}{ ∂ν} = η $ on $ Γ_2 $, where $ 0 ≤ τ ∈ W^{\frac{1}{2} ,2 } (Γ_1),$ $ η ∈ (H_{0, Γ_1}^1 (Ω))^′ $, and $ g : Ω×(0,∞) → \mathbb{R} $ is a nonnegative Carathéodory function. Under suitable assumptions on g and η we prove the existence and uniqueness of a positive weak solution of this problem. Our assumptions allow g to be singular at s = 0 and also at $ x ∈ S $ for some suitable subsets S ⊂ Ω. The Dirichlet problem −Δu = g(·, u) in Ω, u = σ on ∂Ω is also studied in the case when $ 0 ≤ σ ∈ W^{\frac{1}{2} ,2} (Ω) $.

Źródło:

Opuscula Mathematica; 2023, 43, 1; 19-46
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 59.

Tytuł:

Some remarks on the coincidence set for the Signorini problem

Autorzy:

Benito Delgado de, Miguel
Diaz, Jesus Ildefonso

Powiązania:

https://bibliotekanauki.pl/articles/255769.pdf

Data publikacji:

2019

Wydawca:

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH

Tematy:

Signorini problem
coincidence set
location estimates
free boundary problem
contact problems

Opis:

We study some properties of the coincidence set for the boundary Signorini problem, improving some results from previous works by the second author and collaborators. Among other new results, we show here that the convexity assumption on the domain made previously in the literature on the location of the coincidence set can be avoided under suitable alternative conditions on the data.

Źródło:

Opuscula Mathematica; 2019, 39, 2; 145-157
1232-9274
2300-6919

Pojawia się w:

Opuscula Mathematica

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 60.

Tytuł:

Projektowanie aktuatora grzebieniowego z pomocą biblioteki metody elementów brzegowych BEMLAB
Comb actuator designing with the aid of the BEM LIBRARY

Autorzy:

Wieleba, P.
Wójtowicz, S.
Sikora, J.

Powiązania:

https://bibliotekanauki.pl/articles/159859.pdf

Data publikacji:

2012

Wydawca:

Sieć Badawcza Łukasiewicz - Instytut Elektrotechniki

Tematy:

biblioteka metody elementów brzegowych
problemy zewnętrzne dwuwymiarowe
zagadnienia potencjalne
Boundary Element Library
2D External Electromagnetic Problems
Potential Problems

Opis:

W pracy przedstawiono zastosowanie biblioteki metody elementów brzegowych BEMLAB do rozwiązywania zagadnień zewnętrznych teorii pola elektromagnetycznego. Opracowano modyfikację funkcji Greena, pozwalającą na rozwiązywanie zgadnień dwuwymiarowych.
The BEMLAB library for the solution of external Electromagnetic Field Problems by Boundary Element Method was presented in this paper. The Green function has been modified in order to make allow the solution of 2D external problems.

Źródło:

Prace Instytutu Elektrotechniki; 2012, 258; 123-135
0032-6216

Pojawia się w:

Prace Instytutu Elektrotechniki

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 61.

Tytuł:

Positive solution of a fractional differential equation with integral boundary conditions

Autorzy:

Abdo, M. S.
Wahash, H. A.
Panchal, S. K.

Powiązania:

https://bibliotekanauki.pl/articles/122788.pdf

Data publikacji:

2018

Wydawca:

Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej

Tematy:

fractional derivative and integral
positive solutions of nonlinear boundary value problems
upper and lower solutions
fixed point theorem
pochodna ułamkowa
twierdzenie o punkcie stałym
twierdzenia o punkcie stałym Schaudera
równania różniczkowe cząstkowe
nieliniowe cząstkowe równanie różniczkowe
zagadnienie brzegowe

Opis:

In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions. The technique used to prove our results depends on the upper and lower solution, the Schauder fixed point theorem and the Banach contraction principle. The result of existence obtained through constructing the upper and lower control functions of the nonlinear term without any monotone requirement.

Źródło:

Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 5-15
2299-9965

Pojawia się w:

Journal of Applied Mathematics and Computational Mechanics

Dostawca treści:

Biblioteka Nauki

/5

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Skocz do pozycji: 62.

Tytuł:

Stability analysis of relaxed Dirichlet boundary control problems

Autorzy:

Arada, N.
Raymond, J.

Powiązania:

https://bibliotekanauki.pl/articles/206117.pdf

Data publikacji:

1999

Wydawca:

Polska Akademia Nauk. Instytut Badań Systemowych PAN

Tematy:

pomiary Younga
relaksacja
sterowanie
control problems
Dirichlet boundary control
pointwise state constraints
relaxation
stability properties
Young measures

Opis:

We study the relaxation by Young measures of a Dirichlet control problem with pointwise state constraints. We give a necessary and sufficient condition for the properness of the relaxation. This condition is expressed in terms of stability properties, for the original control problem, with respect to geometrical perturbations of state constraints.

Źródło:

Control and Cybernetics; 1999, 28, 1; 35-51
0324-8569

Pojawia się w:

Control and Cybernetics

Dostawca treści:

Biblioteka Nauki

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