Existence of nonoscillatory solutions of nonlinear delay difference equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1277.39002
author: R. Arul
author: T. J. Raghupathi
publication date: 2013-08-28T00:00:00Z
full work available at URL: 7691.htm
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A21
zbMATH DE Number: 6202523
zbMATH Keywords: nonoscillatory solution
zbMATH Keywords: nonlinear delay difference equations
MaRDI profile type: Publication
title: Existence of nonoscillatory solutions of nonlinear delay difference equations
published in: Far East Journal of Mathematical Sciences
review text: The authors study the existence of nonoscillatory solutions for the nonlinear delay difference equation of the form NEWLINE\[NEWLINE\Delta x(n)= p(n) x(n)- q(n) x(n) x(\tau(n)),\quad n\in\mathbb{N}_0= \{n_0,n_0+ 1,\dots\},\tag{1}NEWLINE\]NEWLINE where \(n_0\in\mathbb{N}\), \((p(n))_n\) and \((q(n))_n\) are positive real sequences, \(\tau(n)\leq n\) and \((\tau(n))_n\) is an increasing positive sequence of integer such that \(\lim_{n\to+\infty} \tau(n)=+\infty\).NEWLINENEWLINE A solution of (1) is a sequence \((x(n))_n\) defined for \(n\geq n_0-\theta\), and satisfying (1) for all \(n\in\mathbb{N}_0\), where \(\theta= \max_{n_0\leq n<+\infty} \tau(n)\).
reviewed by: Dan-Mircea Borş
description: scientific article; zbMATH DE number 6202523