- 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