Necessary and sufficient conditions for oscillations of delay partial difference equations
type: Item
instance of: scholarly article
title: Necessary and sufficient conditions for oscillations of delay partial difference equations
zbMATH Open document ID: 0903.39005
author: Bing Liu
author: Aimin Zhao
author: Jurang Yan
published in: Collectanea Mathematica
publication date: 1998-10-25T00:00:00Z
full work available at URL: https://eudml.org/doc/40529
review text: The authors study two classes of delay partial difference equations of the form \[ \begin{multlined} u(i+1,j)+ bu(i,j+1)+ cu(i,j)+ du(i-r,j)+ eu(i,j-s)+\\ fu(i-m,j-n)=0,\quad i,j=0,1,2,\dots \end{multlined} \] and \[ \begin{multlined} u(i+1,j+1)+ au(i+1,j)+ bu(i,j+1)+ cu(i,j)+ du(i-r,j)+\\ eu(i,j-s)+ fu(i-m,j-n)=0,\quad i,j=0,1,2,\dots, \end{multlined} \] where \(a,b,c,d,e\) and \(f\) are real numbers, \(r,s,m\) and \(n\) are positive integers. Explicit necessary and sufficient conditions for the oscillation of the solutions of these equations are obtained.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1186816
zbMATH Keywords: delay partial difference equations
zbMATH Keywords: oscillation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1186816