- 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