On the positive solutions of the system of rational difference equations \(x_{n+1}=1/y_{n - k}, y_{n+1}=y_{n}/x_{n - m}y_{n - m - k}\)
type: Item
instance of: scholarly article
title: On the positive solutions of the system of rational difference equations \(x_{n+1}=1/y_{n - k}, y_{n+1}=y_{n}/x_{n - m}y_{n - m - k}\)
zbMATH Open document ID: 1115.39012
author: Ahmet Yaşar Özban
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-11-15T00:00:00Z
review text: The periodicity of solutions of the system of rational difference equations of the form \(x_{n+1}=1/y_{n-k,} y_{n+1}=y_{n}/x_{n-m}y_{n-m-k}, n=0,1,\dots,\) is investigated.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A20
zbMATH DE Number: 5072926
zbMATH Keywords: system of rational difference equations
zbMATH Keywords: positive solutions
zbMATH Keywords: periodicity
reviewed by: Ioannis P. Stavroulakis
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.10.031
OpenAlex ID: W1974642377
cites work: On the system of rational difference equations \(x_n=A+y_{n-1}/x_{n-p}y_{n-q}\), \(y_n=A+x_{n-1}/x_{n-r}y_{n-s}\)
cites work: A coupled system of rational difference equations
cites work: On a system of two nonlinear difference equations
cites work: Global asymptotic behavior of positive solutions on the system of rational difference equations \(x_{n+1}=1+x_ n/y_{n-m}, y_ {n+1}=1+y_ n/x_{n-m}\).
DOI: 10.1016/J.JMAA.2005.10.031
description: scientific article; zbMATH DE number 5072926