Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We give a theorem on error estimates of approximate solutions for explicit and implicit difference functional equations with unknown functions of several variables. We apply this general result to investigate the stability of difference methods for quasilinear functional differential equations with initial boundary condition of Dirichlet type. We consider first order partial functional differential equations and parabolic functional differential problems. We compare the properties of explicit and implicit difference methods.
We use a comparison technique with nonlinear estimates of Perron type for given functions with respect to the functional variables.:wn
We use a comparison technique with nonlinear estimates of Perron type for given functions with respect to the functional variables.:wn
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
315-340
Opis fizyczny
Daty
wydano
2011
Twórcy
autor
- Institute of Mathematics, University of Gdańsk, Wit Stwosz St. 57, 80-952 Gdańsk, Poland
autor
- Institute of Mathematics, University of Gdańsk, Wit Stwosz St. 57, 80-952 Gdańsk, Poland
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-am38-3-4