Necessary and sufficient conditions for oscillations of partial difference equations with continuous variables
type: Item
instance of: scholarly article
title: Necessary and sufficient conditions for oscillations of partial difference equations with continuous variables
zbMATH Open document ID: 0935.39007
DOI: 10.1016/S0898-1221(99)00223-0
author: Yanyan Li
publication date: 2000-01-20T00:00:00Z
review text: The authors obtain sufficient and necessary conditions for all solutions to the partial difference equation \[ A(x+1,y)+ A(x,y+1)-A(x,y)+ pA(x-\sigma,y -\delta)=0 \] to be oscillatory. These results generalize those of \textit{B. G. Zhang} and \textit{S. T. Liu} [Nonlinear Studies 3, No. 2, 187-192 (1996; Zbl 0864.39006)] and of \textit{G. Ladas}, \textit{L. Pakula} and \textit{Z. Wang} [Panam. Math. J. 2, No. 1, 17-26 (1992; Zbl 0773.39002)].
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 1391645
zbMATH Keywords: oscillations
zbMATH Keywords: partial difference equation
MaRDI profile type: Publication
cites work: Q4000373
cites work: Q3267605
cites work: On a class of nonlinear difference equations
cites work: On the oscillation of two partial difference equations
cites work: Q5691210
cites work: Q4862646
cites work: Q3988711
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cites work: A Symbolic Form of an Inversion Formula for a Laplace Transform
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1391645