Frequent oscillation of a class of partial difference equations
type: Item
instance of: scholarly article
title: Frequent oscillation of a class of partial difference equations
zbMATH Open document ID: 0923.39009
DOI: 10.4171/ZAA/872
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1999-10-18T00:00:00Z
full work available at URL: https://eudml.org/doc/48263
review text: The authors consider the following partial difference equation \[ A_{m+1,n}+A_{m,n+1}-a_{m,n}A_{m,n}+p_{m,n}A_{m-k,n-\ell}=0 \tag{1} \] where \(k,\ell\) are nonnegative integers, \(\{a_{m,n}\}\) and \(\{p_{m,n}\}\) are real double sequences. Criteria are developed for equation (1) to be frequently oscillatory. Note that if an equation is frequent oscillatory, then it is oscillatory.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1278889
zbMATH Keywords: partial difference equations
zbMATH Keywords: frequent oscillation
zbMATH Keywords: frequent positivity
author: Chuanjun Tian
author: B. G. Zhang
reviewed by: Patricia J. Y. Wong
MaRDI profile type: Publication
cites work: Q4003305
cites work: Q4314904
cites work: On the Partial Difference Equations of Mathematical Physics
cites work: Q4000373
cites work: Measures for oscillatory sequences
cites work: Q3732204
cites work: On the oscillation of two partial difference equations
cites work: Oscillation of a class of delay partial difference equations
cites work: Linearized oscillation theorems for certain nonlinear delay partial difference equations
OpenAlex ID: W2021723613
description: scientific article; zbMATH DE number 1278889