Positive solutions of higher-order nonlinear delay difference equations
type: Item
instance of: scholarly article
title: Positive solutions of higher-order nonlinear delay difference equations
zbMATH Open document ID: 1054.39006
DOI: 10.1016/S0898-1221(03)00086-5
author: Ravi P. Agarwal
author: Wan-Tong Li
publication date: 2004-08-06T00:00:00Z
review text: The authors study the nonlinear difference equation \[ \Delta^m x_{n-1} \pm f(n, x_{n-\tau}) = 0, \] where \(m \geq 2\) and \(f\) is a real-valued continuous function with \(f(n,x) \geq 0\) for \(x > 0\). They classify positive solutions according to their asymptotic behavior and under the assumption that \(f(n,x)\) is non-decreasing or non-increasing in \(x\).
reviewed by: Axel Riese
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2082227
zbMATH Keywords: positive solution
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: nonlinear delay difference equation
MaRDI profile type: Publication
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full work available at URL: s0898-1221(03)00086-5
OpenAlex ID: W2080096895
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 2082227