Stability of solutions for a family of nonlinear difference equations

DOI10.1155/2008/238068zbMath1146.39020OpenAlexW2060377318MaRDI QIDQ937537

Hongjian Xi, Taixiang Sun, Caihong Han

Publication date: 15 August 2008

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54555

zbMATH Keywords

global asymptotic stabilityunique equilibriumnonlinear difference equationsdiscrete dynamical systemrational difference equationPutnam difference equation

Mathematics Subject Classification ID

Related Items (3)

Global behavior of two families of nonlinear symmetric difference equations ⋮ Dependence on parameters for discrete second-order boundary value problems ⋮ Global asymptotic stability of a family of nonlinear difference equations

Cites Work

• Global asymptotic stability and oscillation of a family of difference equations
• The global attractivity of a higher order rational difference equation
• Global asymptotic stability in some discrete dynamical systems
• Global asymptotic stability of a higher order nonlinear difference equation
• Quantitative bounds for the recursive sequence \(y_{n} + 1 = A + \frac {{y}_{n}}{{y}_{n-k}}\)
• The global attractivity of the rational difference equation \(y_n = \frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}\)
• Qualitative properties for a fourth-order rational difference equation
• Global behavior for a fourth-order rational difference equation
• Global Asymptotic Stability in a Rational Equation*

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