On the global asymptotic stability of a second-order system of difference equations
type: Item
instance of: scholarly article
title: On the global asymptotic stability of a second-order system of difference equations
zbMATH Open document ID: 1161.39013
DOI: 10.1155/2008/860152
published in: Discrete Dynamics in Nature and Society
publication date: 2009-04-01T00:00:00Z
full work available at URL: https://eudml.org/doc/129898
review text: A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations \(z_{n+1}=(t_nz_{n-1}+a)/(t_n+z_{n-1})\), \(t_{n+1}=(z_nt_{n-1}+a)/(z_n+t_{n-1})\), \(n=0,1,2,\dots\), where the parameter \(a\in(0,\infty)\) and the initial values \((z_k,t_k)\in(0,\infty)\) (for \(k=-1,0)\).
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A20
zbMATH DE Number: 5538679
zbMATH Keywords: rational difference equations
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: system of difference equations
Wikidata QID: Q58644548
author: İbrahim Yalçinkaya
MaRDI profile type: Publication
OpenAlex ID: W2012508920
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description: scientific article; zbMATH DE number 5538679