Temat: Nonlinear Equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

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

Skocz do pozycji: 4.

Tytuł:: Difference methods for infinite systems of hyperbolic functional differential equations on the Haar pyramid
Autorzy:: Jaruszewska-Walczak, D.
Powiązania:: https://bibliotekanauki.pl/articles/2050179.pdf
Data publikacji:: 2004
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: initial problems
infinite systems of differential functional equations
difference functional inequalities
nonlinear estimates of Perron type
Opis:: We consider the Cauchy problem for infinite system of differential functional equations $\partial_{t}z_{k}(t, x) = f_{k}(t, x, z, \partial_{x}z_{k}(t, x)), k \in \mathbf{N}$. In the paper we consider a general class of difference methods for this problem. We prove the convergence of methods under the assumptions that given functions satisfy the nonlinear estimates of the Perron type with respect to functional variables. The proof is based on functional difference inequalities. We constructed the Euler method as an example of difference method.
Źródło:: Opuscula Mathematica; 2004, 24, 1; 85-96
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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