On a system of two nonlinear difference equations
type: Item
instance of: scholarly article
title: On a system of two nonlinear difference equations
zbMATH Open document ID: 0908.39003
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-03-16T00:00:00Z
review text: Concerning the system \(x_{n+1}=A+y_n/x_{n-p}\), \(y_{n+1}=A+x_n/y_{n-q}\) with \(A\geq 0\) and natural numbers \(p\), \(q\), the authors show: (i) the positive solutions are bounded, (ii) they oscillate about the equilibrium \((1+A,1+A)\), (iii) the equilibrium is globally asymptotically stable for \(A>1\).
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 1215744
zbMATH Keywords: nonlinear difference equations
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: oscillations
zbMATH Keywords: system
zbMATH Keywords: positive solutions
author: G. Papaschinopoulos
author: C. J. Schinas
reviewed by: Lothar Berg
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5829
OpenAlex ID: W2024420873
cites work: Q3837530
cites work: Q4381451
cites work: Q3137926
cites work: On rational recursive sequences
cites work: Permanence and oscillation of a system of two nonlinear difference equations
cites work: Persistence, Oscillatory Behavior, and Periodicity of the Solutions of a System of two Nonlinear Difference Equations
cites work: Invariants and oscillation for systems of two nonlinear difference equations
cites work: Global attractivity in a nonlinear difference equation
DOI: 10.1006/JMAA.1997.5829
description: scientific article; zbMATH DE number 1215744