The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures
type: Item
instance of: scholarly article
title: The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures
zbMATH Open document ID: 1077.39004
DOI: 10.1016/S0898-1221(03)00090-7
author: Mustafa R. S. Kulenovic
author: G. Ladas
author: I. W. Rodrigues
author: Luiz Felipe Martins
publication date: 2004-08-06T00:00:00Z
review text: The authors investigate the global character of the solutions of the equation in the title with nonnegative parameters and initial conditions such as the global attractivity, local and global asymptotic stability of the unique positive equilibrium, the boundedness and periodic nature of the solutions.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A20
zbMATH DE Number: 2082217
zbMATH Keywords: rational difference equation
zbMATH Keywords: semicycles
zbMATH Keywords: periodic solutions
zbMATH Keywords: boundedness
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: global attractivity
reviewed by: Mihály Pituk
MaRDI profile type: Publication
Wikidata QID: Q122940343
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published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 2082217