Oscillation criteria for difference equations with unbounded delay
type: Item
instance of: scholarly article
title: Oscillation criteria for difference equations with unbounded delay
zbMATH Open document ID: 0907.39016
DOI: 10.1016/S0898-1221(97)00286-1
author: Chuanjun Tian
author: B. G. Zhang
publication date: 1998-08-20T00:00:00Z
review text: Consider the delay difference equation \[ x_{n+1}-x_n+p_nx_{\tau(n)}=0,\;n\in\mathbb{N}, \] \(p_n\geq 0\), where: (i) \(\tau: \mathbb{N}\mathbb{Z}\) is nondecreasing, (ii) \(\tau(n)<n\) for \(n\in \mathbb{N}\), (iii) \(\tau(n) \to\infty\) as \(n\to\infty\), (iv) there exists a monotone sequence \(\{n_k\}\) such that \(\tau\{n_k\} =n_{k-1}\), \(k=1,2, \dots, n_k\to \infty\) as \(n\to \infty\). The paper contains two criteria for oscillation of solution to the equation (*). Two illustrative examples are included.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1192699
zbMATH Keywords: unbounded delay
zbMATH Keywords: oscillation of solutions
zbMATH Keywords: delay difference equation
reviewed by: Dobiesław Bobrowski
MaRDI profile type: Publication
cites work: Oscillation of discrete analogues of delay equations
cites work: Sharp conditions for the oscillation of delay difference equations
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cites work: Oscillations of delay difference equations
cites work: Oscillations of delay difference equations with oscillating coefficients
cites work: Stability and oscillations in single-species processes with past memory†
cites work: Q4836479
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full work available at URL: s0898-1221(97)00286-1
OpenAlex ID: W1996787897
Wikidata QID: Q127991872
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 1192699