Global stability for a class of difference equation
type: Item
instance of: scholarly article
title: Global stability for a class of difference equation
zbMATH Open document ID: 0959.39013
author: Hengsheng Tang
author: Wei Luo
author: Chunhua Ou
published in: Applied Mathematics. Series B (English Edition)
publication date: 2001-04-19T00:00:00Z
review text: The authors obtain new sufficient conditions which imply that every positive solution of the equation \(x_{n+1}=(a+bx_{n})/(A+x_{n-1})\) with positive coefficients tends to a unique positive equilibrium of this equation. The theorem improves some previous results given by \textit{G.~Ladas} [Open problems and conjectures, Proc. of the 1st Int.Cconf. on Difference Equations, San Antonio, May 25-28, 1994, Gordon and Breach Publishers, 337-349 (1995; Zbl 0860.39018); J. Differ. Equ. Appl. 1, No. 3, 317-321 (1995; Zbl 0855.39006)].
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 1445599
zbMATH Keywords: nonlinear difference equation
zbMATH Keywords: global stability
zbMATH Keywords: positive solutions
reviewed by: Oleg Anashkin
MaRDI profile type: Publication
full work available at URL: s11766-000-0006-7
OpenAlex ID: W1991544306
cites work: Q3137926
cites work: Open problems and conjectures
Wikidata QID: Q126215375
DOI: 10.1007/S11766-000-0006-7
description: scientific article; zbMATH DE number 1445599