Comparison theorems for the oscillation of difference equations with continuous arguments and applications
type: Item
instance of: scholarly article
title: Comparison theorems for the oscillation of difference equations with continuous arguments and applications
zbMATH Open document ID: 0867.39005
published in: Chinese Science Bulletin
publication date: 1997-03-06T00:00:00Z
review text: Consider the difference equation with continuous arguments \[ y(t)- y(t-\tau)+ \sum^\infty_{i=1} p_i(t)y(t-\sigma_i)=0,\tag{1} \] \[ y(t)- y(t-\tau)+ p(t)y(t-\sigma)=0,\tag{2} \] where \(\tau\), \(\sigma\) and \(\sigma_i\) are positive constants, \(p_i(t)\) and \(p(t)\in C(R^+,R^+)\). In this note, the author compares equation (1) with certain delay differential equation, and thereby establishes some new sufficient conditions for the oscillation of equations (1) and (2).
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 987498
zbMATH Keywords: difference equation
zbMATH Keywords: delay differential equation
zbMATH Keywords: oscillation
author: Jianhua Shen
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 987498