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Wyszukujesz frazę "Nonlinear Equations" wg kryterium: Temat


Tytuł:
Reduction and continuation theorems for Brouwer degree and applications to nonlinear difference equations
Autorzy:
Mawhin, J.
Powiązania:
https://bibliotekanauki.pl/articles/255344.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Brouwer degree
nonlinear difference equations
Opis:
The aim of this note is to describe the continuation theorem of [39,40] directly in the context of Brouwer degree, providing in this way a simple frame for multiple applications to nonlinear difference equations, and to show how the corresponding reduction property can be seen as an extension of the well-known reduction formula of Leray and Schauder [24], which is fundamental for their construction of Leray-Schauder's degree in normed vector spaces.
Źródło:
Opuscula Mathematica; 2008, 28, 4; 541-560
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A dynamical inverse problem for a parabolic equation
Autorzy:
Maksimov, V.
Powiązania:
https://bibliotekanauki.pl/articles/255796.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear parabolic equations
inverse problem
Opis:
A problem of dynamical reconstruction of unknown distributed or boundary disturbances acting upon nonlinear parabolic equations is discussed. A regularized algorithm which allows us to reconstruct disturbances synchro with the process under consideration is designed. This algorithm is stable with respect to informational noises and computational errors.
Źródło:
Opuscula Mathematica; 2006, 26, 2; 327-342
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and uniqueness of the solutions of some degenerate nonlinear elliptic equations
Autorzy:
Cavalheiro, A. C
Powiązania:
https://bibliotekanauki.pl/articles/255079.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
degenerate nonlinear elliptic equations
weighted Sobolev spaces
Opis:
In this paper we are interested in the existence of solutions for the Dirichlet problem associated with degenerate nonlinear elliptic equations [formula] in the setting of the weighted Sobolev spaces [formula].
Źródło:
Opuscula Mathematica; 2014, 34, 1; 15-28
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence, uniqueness and estimates of classical solutions to some evolutionary system
Autorzy:
Sapa, L.
Powiązania:
https://bibliotekanauki.pl/articles/255005.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
hyperbolic wave equation
telegraph equation
system of nonlinear equations
existence
uniqueness and estimates of solutions
Hölder space
Opis:
The theorem of the local existence, uniqueness and estimates of solutions in Hölder spaces for some nonlinear differential evolutionary system with initial conditions is formulated and proved. This system is composed of one partial hyperbolic second-order equation and an ordinary subsystem with a parameter. In the proof of the theorem we use the Banach fixed-point theorem, the Arzeli-Ascola lemma and the integral form of the differential problem.
Źródło:
Opuscula Mathematica; 2015, 35, 6; 935-956
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Difference problems generated by infinite systems of nonlinear parabolic functional differential equations with the Robin conditions
Autorzy:
Czernous, W.
Jaruszewska-Walczak, D.
Powiązania:
https://bibliotekanauki.pl/articles/255694.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear parabolic equations
functional differential equations
infinite systems
Volterra type operators
nonlinear estimates of Perron type
truncation methods
Opis:
We consider the classical solutions of mixed problems for infinite, countable systems of parabolic functional differential equations. Difference methods of two types are constructed and convergence theorems are proved. In the first type, we approximate the exact solutions by solutions of infinite difference systems. Methods of second type are truncation of the infinite difference system, so that the resulting difference problem is finite and practically solvable. The proof of stability is based on a comparison technique with nonlinear estimates of the Perron type for the given functions. The comparison system is infinite. Parabolic problems with deviated variables and integro-differential problems can be obtained from the general model by specifying the given operators.
Źródło:
Opuscula Mathematica; 2014, 34, 2; 311-326
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exponential decay of solutions to a class of fourth-order nonlinear hyperbolic equations modeling the oscillations of suspension bridges
Autorzy:
Liu, Yang
Yang, Chao
Powiązania:
https://bibliotekanauki.pl/articles/2048892.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fourth-order nonlinear hyperbolic equations
weak solutions
exponential decay
family of potential wells
Opis:
This paper is concerned with a class of fourth-order nonlinear hyperbolic equations subject to free boundary conditions that can be used to describe the nonlinear dynamics of suspension bridges.
Źródło:
Opuscula Mathematica; 2022, 42, 2; 239-255
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence of three solutions for perturbed nonlinear difference equations
Autorzy:
Heidarkhani, S.
Moghadam, M. K.
Powiązania:
https://bibliotekanauki.pl/articles/952774.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear difference equations
discrete boundary value problem
three solutions
critical point theory
variational methods
Opis:
Using critical point theory, we study the existence of at least three solutions for perturbed nonlinear difference equations with discrete boundary-value condition depending on two positive parameters.
Źródło:
Opuscula Mathematica; 2014, 34, 4; 747-761
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some stability conditions for scalar Volterra difference equations
Autorzy:
Berezansky, L.
Migda, M.
Schmeidel, E.
Powiązania:
https://bibliotekanauki.pl/articles/254995.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear and nonlinear Volterra difference equations
boundedness of solutions
exponential and asymptotic stability
Opis:
New explicit stability results are obtained for the following scalar linear difference equation [formula] and for some nonlinear Volterra difference equations.
Źródło:
Opuscula Mathematica; 2016, 36, 4; 459-470
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation theorems concerning non-linear differential equations of the second order
Autorzy:
Elabbasy, E.M.
Elzeiny, Sh.R.
Powiązania:
https://bibliotekanauki.pl/articles/255765.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
second order
nonlinear
differential equations
oscillation
Opis:
This paper concerns the oscillation of solutions of the differential eq. [r,(t) ψ(x(t)) ƒ (x(t))] + q(t) φ (g(x(t)), r(t)ψ(x(t))=0 where uφ(u,v) > 0 for all u ≠ 0, xg(x)>0, xf(x)>0 for all x ≠ 0, ψ(x)>0 for all x ∈ R, r(t)>0 for t≥t0>0 and q is of arbitrary sign. Our results complement the results in [A.G. Kartsatos, On oscillation of nonlinear quations of second order, J. Math. Anal. Appl. 24 (1968), 665-668], and improve a number of existing oscillation criteria. Our main results are illustrated with examples.
Źródło:
Opuscula Mathematica; 2011, 31, 3; 373-391
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniqueness of solutions of a generalized Cauchy problem for a system of first order partial functional differential equations
Autorzy:
Netka, M.
Powiązania:
https://bibliotekanauki.pl/articles/952848.pdf
Data publikacji:
2009
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
functional differential equations
comparison methods
nonlinear estimates of Perron type
Opis:
The paper is concerned with weak solutions of a generalized Cauchy problem for a nonlinear system of first order differential functional equations. A theorem on the uniqueness of a solution is proved. Nonlinear estimates of the Perron type are assumed. A method of integral functional inequalities is used.
Źródło:
Opuscula Mathematica; 2009, 29, 1; 69-79
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences
Autorzy:
Schmeidel, E.
Powiązania:
https://bibliotekanauki.pl/articles/255806.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear
nonlinear
difference equations
third order
oscillatory solution
quasidifferences
Riccati technique
Opis:
In this paper, third order difference equations are considered. We study the nonlinear third order difference equation with quasidifferences. Using Riccati transformation techniques, we establish some sufficient conditions for each solution of this equation to be either oscillatory or converging to zero. The result is illustrated with examples.
Źródło:
Opuscula Mathematica; 2006, 26, 2; 361-369
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical simulation of liquid motion in a partly filled tank
Autorzy:
Warmowska, M.
Powiązania:
https://bibliotekanauki.pl/articles/255682.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear boundary value problem
linear elliptic equations
sloshing
free-surface potential flows
Opis:
The paper presents the problem of liquid motion in a 2D partly filled tank. It is assumed that the flow of liquid in tank is a potential, hence it can be described by Laplace equations with appropriate boundary conditions. The problem is solved using the boundary element method. The developed numerical algorithm makes it possible to determine the free surface elevation, the velocity field and the pressure field during the liquid motion in the tank. The area occupied by liquid is represented by a mesh changing in time. Numerical computations are performed for translatory and rotational motion of the tank. The results of numerical computations are verified by experiment.
Źródło:
Opuscula Mathematica; 2006, 26, 3; 529-540
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of linear and nonlinear diffusion problems via stochastic differential equations
Autorzy:
Bargieł, M.
Tory, E. M.
Powiązania:
https://bibliotekanauki.pl/articles/305261.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear diffusion
stochastic differential equations
Wiener process
Itô process
Kolmogorov backward equation
Opis:
The equation for nonlinear diffusion can be rearranged to a form that immediately leads to its stochastic analog. The latter contains a drift term that is absent when the diffusion coefficient is constant. The dependence of this coefficient on concentration (or temperature) is handled by generating many paths in parallel and approximating the derivative of concentration with respect to distance by the central difference. This method works for one-dimensional diffusion problems with finite or infinite boundaries and for diffusion in cylindrical or spherical shells. By mimicking the movements of molecules, the stochastic approach provides a deeper insight into the physical process. The parallel version of our algorithm is very efficient. The 99% confidence limits for the stochastic solution enclose the analytical solution so tightly that they cannot be shown graphically. This indicates that there is no systematic difference in the results for the two methods. Finally, we present a direct derivation of the stochastic method for cylindrical and spherical shells.
Źródło:
Computer Science; 2015, 16 (4); 415-428
1508-2806
2300-7036
Pojawia się w:
Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical approximations of difference functional equations and applications
Autorzy:
Kamont, Z.
Powiązania:
https://bibliotekanauki.pl/articles/255105.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
functional differential equations
stability and convergence
interpolating operators
nonlinear estimates of Perron type
Opis:
We give a theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type. We apply this general result in the investigation of the stability of difference schemes generated by nonlinear first order partial differential functional equations and by parabolic problems. We show that all known results on difference methods for initial or initial boundary value problems can be obtained as particular cases of this general and simple result. We assume that the right hand sides of equations satisfy nonlinear estimates of the Perron type with respect to functional variables.
Źródło:
Opuscula Mathematica; 2005, 25, 1; 109-130
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A singular nonlinear boundary value problem with Neumann conditions
Autorzy:
Janus, J.
Powiązania:
https://bibliotekanauki.pl/articles/255233.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
singular nonlinear boundary value problem
Neumann boundary conditions
second order equations
maximal and minimal solutions
Opis:
We study the existence of solutions for the equations x" plmin g(t, x) = h(t), t mem (0, 1) with Neumann boundary conditions, where g: [0, 1] x (0, +infin) arr [0, +infin] and h: [0, 1] arr R are continuous and g(t, ·) is singular at 0 for each t mem [0, 1].
Źródło:
Opuscula Mathematica; 2005, 25, 2; 227-241
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł

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