Nonoscillation in nonlinear difference equations
type: Item
instance of: scholarly article
title: Nonoscillation in nonlinear difference equations
zbMATH Open document ID: 0807.39005
DOI: 10.1016/0898-1221(94)00108-1
author: Cheh-Chih Yeh
author: Horng-Jaan Li
publication date: 1994-09-21T00:00:00Z
review text: The authors establish some necessary conditions on the nonoscillation of the nonlinear difference equation \(\Delta \psi (\Delta x_{k - 1}) + a_ k \psi (x_ k) = 0\), \(k = 1,2, \dots\), where \(\psi : \mathbb{R} \to \mathbb{R}\) is defined by \(\psi (s) = | s |^{p - 2} s\) with \(p > 1\) a fixed real number, and \(\{a_ k\}^ \infty_ 1\) is a nonnegative sequence with infinitely many positive terms.
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 641446
zbMATH Keywords: nonoscillation
zbMATH Keywords: nonlinear difference equation
reviewed by: Stefan Balint
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)00108-1
OpenAlex ID: W1974155864
cites work: Existence of positive nondecreasing solutions of nonlinear difference equations
cites work: An existence theorem for a nonlinear difference equation
cites work: Q3989353
cites work: Nonoscillation in linear second order ordinary differential equations
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 641446