Existence of multiple positive periodic solutions for nonlinear functional difference equations
type: Item
instance of: scholarly article
title: Existence of multiple positive periodic solutions for nonlinear functional difference equations
zbMATH Open document ID: 1070.39019
author: Manjun Ma
author: Jianshe Yu
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-28T00:00:00Z
review text: The authors consider the nonlinear delay difference equation \(x_{n+1}=a_nx_n+\lambda h_nf(x_{n-\tau(n)})\) where \(a_n\) \(h_n\) and \(\tau _{(n)}\) are positive periodic functions of period \(T\geq 1,\) \(\lambda >0\) and \(0<a_{n}<1.\) By using the fixed point theorem on the cone they establish some new sufficient conditions for existence of periodic solutions. The results give an affirmative answer to the question posed by \textit{Y. N. Raffoul} [Electron. J. Differ. Equ. 2003, Paper No. 102, 7 p., electronic only (2003; Zbl 1054.34115)].
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2162016
zbMATH Keywords: periodic solutions
zbMATH Keywords: nonlinear delay difference equation
zbMATH Keywords: functional difference equation
zbMATH Keywords: multiple positive solutions
zbMATH Keywords: fixed points
reviewed by: S. H. Saker
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.11.010
OpenAlex ID: W2017362880
cites work: Existence of positive periodic solutions for non-autonomous functional differential equations
cites work: Q4379819
cites work: Positive solutions of nonlinear functional difference equations
cites work: THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
cites work: Q4544381
cites work: Q4370468
DOI: 10.1016/J.JMAA.2004.11.010
description: scientific article; zbMATH DE number 2162016