The finite difference method for first order impulsive partial differential-functional equations
type: Item
instance of: scholarly article
title: The finite difference method for first order impulsive partial differential-functional equations
zbMATH Open document ID: 0832.65112
DOI: 10.1007/BF02238434
author: Z. Kamont
author: Drumi Bainov
author: Emil Minchev
published in: Computing
publication date: 1996-03-11T00:00:00Z
review text: This paper concerns initial-boundary value problems for first-order impulsive partial differential-functional equations. Sufficient conditions for the convergence of a general class of one step difference methods are given. It is assumed that the given functions satisfy nonlinear estimates of Perron type with respect to the functional argument. The proof of stability is based on a theorem on difference functional inequalities generated by an impulsive differential-functional problem. It is assumed that the given functions satisfy a Volterra condition. A numerical example is given.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35R10
zbMATH DE Number: 808214
zbMATH Keywords: first-order impulsive partial differential-functional equations
zbMATH Keywords: convergence
zbMATH Keywords: difference methods
zbMATH Keywords: stability
zbMATH Keywords: functional inequalities
zbMATH Keywords: Volterra condition
zbMATH Keywords: numerical example
reviewed by: Laura Iulia Aniţa
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02238434
OpenAlex ID: W1519652718
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description: scientific article; zbMATH DE number 808214