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Wyświetlanie 1-15 z 94
Tytuł:
On a theorem of Cauchy-Kovalevskaya type for a class of nonlinear PDEs of higher order with deviating arguments
Autorzy:
Augustynowicz, Antoni
Powiązania:
https://bibliotekanauki.pl/articles/1293935.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
nonlinear equation
deviating argument
analytic solution
Cauchy-Kovalevskaya theorem
Opis:
We prove an existence theorem of Cauchy-Kovalevskaya type for the equation
$D_t u(t,z) = f(t,z,u(α^{(0)}(t,z)), D_z u(α^{(1)}(t,z)),...,D_z^k u(α^{(k)}(t,z)))$
where f is a polynomial with respect to the last k variables.
Źródło:
Annales Polonici Mathematici; 1999, 72, 2; 181-190
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact and approximate controllability conditions for the micro-swimmers deflection governed by electric field on a plane: The Green’s function approach
Autorzy:
Khurshudyan, A. Zh.
Powiązania:
https://bibliotekanauki.pl/articles/229564.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
run
tumble
micro-swimmers
Green’s function of nonlinear equation
discontinuous
Opis:
We study the exact and approximate controllabilities of the Langevin equation describing the Brownian motion of particles with a white noise. The Langevin equation is shown to describe also the bacterial run-and-tumble motion. Applying the Green’s function approach to the Green’s function representation of the Langevin equation, we obtain necessary and sufficient conditions for exact controllability in the form of a finite-dimensional problem of moments. For the approximate controllability, we obtain only sufficient conditions. The sets of resolving controls are characterized in both cases. The theoretical derivations are supported by a numerical analysis.
Źródło:
Archives of Control Sciences; 2018, 28, 3; 335-347
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Applications of python programs in solving of equations based on selected numerical methods
Autorzy:
Ziółkowski, M.
Stępień, L.
Stępień, M. R.
Gola, A.
Powiązania:
https://bibliotekanauki.pl/articles/951868.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
język Python
metody numeryczne
równania nieliniowe
Python
numerical methods
nonlinear equation
Opis:
In this paper we present the mathematical background of the four most used numerical methods of solving equations and few examples of Python applications that find the approximations of the roots of the given equations. We also compare the exact and approximate solutions of polynomial equations of third degree. Exact solutions are obtained with usage of Cardano formulae by the help of Mathematica environment, the approximate ones – based on the selected numerical methods by the help of applications written in Python language.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2017, 22; 31-45
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
Autorzy:
Li, Wantong
Powiązania:
https://bibliotekanauki.pl/articles/1310726.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
oscillation
neutral nonlinear differential equation
asymptotic behavior
Opis:
A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.
Źródło:
Annales Polonici Mathematici; 1996-1997, 65, 3; 283-302
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the asymptotic behaviors of solutions to nonlinear differential equations of second order
Autorzy:
Tunc, Cemil
Ayhan, Timur
Powiązania:
https://bibliotekanauki.pl/articles/745695.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Asymptotic behavior
nonlinear differential equation
second order
Opis:
We study the asymptotic behavior of solutions to a nonlinear differential equation of the second order whose coefficient of nonlinearity is a bounded function for arbitrarily large values of \(x\) in \(R\). We obtain certain sufficient conditions which guarantee boundedness of solutions, their convergence to zero as \(x\rightarrow \infty\) and their unboundedness.
Źródło:
Commentationes Mathematicae; 2015, 55, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Growth and accretion of mass in an astrophysical model
Autorzy:
Biler, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/1340314.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
asymptotic behavior
radial solutions
nonlinear parabolic equation
Opis:
We study asymptotic behavior of radial solutions of a nonlocal Fokker-Planck equation describing the evolution of self-attracting particles. In particular, we consider stationary solutions in balls and in the whole space, self-similar solutions defined globally in time, blowing up self-similar solutions, and singularities of solutions that blow up in a finite time.
Źródło:
Applicationes Mathematicae; 1995-1996, 23, 2; 179-189
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation of a forced higher order equation
Autorzy:
Kosmala, Witold
Powiązania:
https://bibliotekanauki.pl/articles/1311648.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
oscillation
nonlinear higher order equation
nonlinear functional
Opis:
We state and prove two oscillation results which deal with bounded solutions of a forced higher order differential equation. One proof involves the use of a nonlinear functional.
Źródło:
Annales Polonici Mathematici; 1994-1995, 60, 2; 137-144
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A novel hybrid iterative method for applied mathematical models with time-efficiency
Autorzy:
Jamali, Khalid
Solangi, Muhammad Anwar
Qureshi, Sania
Powiązania:
https://bibliotekanauki.pl/articles/2202025.pdf
Data publikacji:
2022
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nonlinear equation
computational order
efficiency index
convergence order
Newton’s method
równanie nieliniowe
Opis:
Non-linear phenomena appear in many fields of engineering and science. Research on numerical methods is continually extending with the improvement of the latest computing tools. In today’s computational field, one requires maximum achievement in a minimum amount of time. Therefore, there is a need to modify the Newton-type method to achieve higher-order convergence to solve non-linear equations. While the modified methods are expected to be higher-order convergent, the minor computational information and the maximum time efficiency are also important factors. We propose a three-step hybrid iterative method having a non-linear nature. Per iteration, the method requires three function evaluations and three first-order derivatives. The method is theoretically proven to be tenth-order convergent. The mathematical results of the proposed strategy to solve models from fluid dynamics, electric field, and real gases demonstrated better performance. In light of error analysis, computational productivity, and CPU times, the proposed method’s performance is compared to the famous Newton and a recently proposed tenth-order method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 19--29
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A singular radially symmetric problem in electrolytes theory
Autorzy:
Nadzieja, Tadeusz
Raczyński, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/1339085.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
radial solutions
electrodiffusion of ions
nonlinear parabolic equation
Opis:
Existence of radially symmetric solutions (both stationary and time dependent) for a parabolic-elliptic system describing the evolution of the spatial density of ions in an electrolyte is studied.
Źródło:
Applicationes Mathematicae; 1998-1999, 25, 1; 101-112
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pareto optimal control problem and its Galerkin approximation for a nonlinear one-dimensional extensible beam equation
Autorzy:
Just, A.
Stempień, Z.
Powiązania:
https://bibliotekanauki.pl/articles/255243.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear beam equation
Pareto optimal control
Galerkin approximation
Opis:
Our goal is to study the Pareto optimal control system for a nonlinear one-dimensional extensible beam equation and its Galerkin approximation. First we consider a mathematical model of the beam equation which was obtained by S. Woinowsky-Krieger in 1950. Next we consider the Pareto optimal control problem based on this equation. Further, we describe the approximation of this system. We use the Galerkin method to approximate the solution of this control problem with respect to a spatial variable. Based on the standard finite dimensional approximation we prove that as the discretization parameters tend to zero then the weak accumulation point of the solutions of the discrete optimal control problems exist and each of these points is the solution of the original Pareto optimal control problem.
Źródło:
Opuscula Mathematica; 2016, 36, 2; 239-252
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a finding the coefficient of one nonlinear wave equation in the mixed problem
Autorzy:
Safarova, Zimrud R.
Powiązania:
https://bibliotekanauki.pl/articles/229359.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
hyperbolic equation
nonlinear wave equation
optimal control problem
necessary condition
Opis:
The paper is devoted to the finding of the coefficient of one nonlinear wave equation in the mixed problem. The considered problem is reduced to the optimal control problem with proper functional. Differentiability of functional is proved and the necessary optimality conditions are derived in the form of the variational inequality. Existence of the optimal control is proved.
Źródło:
Archives of Control Sciences; 2020, 30, 2; 199-212
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory properties of fourth order nonlinear difference equations with quasidifferences
Autorzy:
Schmeidel, E.
Migda, M.
Musielak, A.
Powiązania:
https://bibliotekanauki.pl/articles/255808.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear difference equation
oscillatory solution
nonoscillatory solution
fourth order
Opis:
In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.
Źródło:
Opuscula Mathematica; 2006, 26, 2; 371-380
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability by Krasnoselskiis theorem in totally nonlinear neutral differential equations
Autorzy:
Derrardjia, I.
Ardjouni, A.
Djoudi, A.
Powiązania:
https://bibliotekanauki.pl/articles/1397510.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fixed point
stability
nonlinear neutral equation
Krasnoselskii-Burton theorem
Opis:
In this paper we use fixed point methods to prove asymptotic stability results of the zero solution of a class of totally nonlinear neutral differential equations with functional delay. The study concerns $x^\prime (t)= -a(t)x^3(t) + c(t)x^\prime (t-r(t)) + b(t) x^3 (t-r(t)) $. The equation has proved very challenging in the theory of Liapunov’s direct method. The stability results are obtained by means of Krasnoselskii-Burton’s theorem and they improve on the work of T.A. Burton (see Theorem 4 in [Liapunov functionals, fixed points, and stability by Krasnoselskii’s theorem, Nonlinear Studies 9 (2001), 181–190]) in which he takes c=0 in the above equation
Źródło:
Opuscula Mathematica; 2013, 33, 2; 255-272
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Shape identification in nonlinear boundary problems solved by pies method
Autorzy:
Zieniuk, E.
Bołtuć, A.
Szerszeń, K.
Powiązania:
https://bibliotekanauki.pl/articles/387431.pdf
Data publikacji:
2014
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
PIES
PIES method
defect
shape identification
nonlinear equation
metoda PIES
defekt
identyfikacja kształtu
równanie nieliniowe
Opis:
The paper presents the strategy for identifying the shape of defects in the domain defined in the boundary value problem modelled by the nonlinear differential equation. To solve the nonlinear problem in the iterative process the PIES method and its ad-vantages were used: the efficient way of the boundary and the domain modelling and global integration. The identification was performed using the genetic algorithm, where in connection with the efficiency of PIES we identify the small number of data required to the defect’s definition. The strategy has been tested for different shapes of defects.
Źródło:
Acta Mechanica et Automatica; 2014, 8, 1; 16-21
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 94

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