Global asymptotic stability of a family of difference equations

DOI10.1016/j.camwa.2008.04.032zbMath1172.39018OpenAlexW2057074650MaRDI QIDQ5919976

Yuan Yan Tang, Jianqiu Cao, Xiaofan Yang

Publication date: 17 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.04.032

zbMATH Keywords

equilibriumrational difference equationglobally asymptotic stability

Mathematics Subject Classification ID

Related Items (9)

Dynamical properties of a class of higher-order nonlinear difference equations ⋮ On some \(k\)-dimensional cyclic systems of difference equations ⋮ On global attractivity of a class of nonautonomous difference equations ⋮ Global behavior of two families of nonlinear symmetric difference equations ⋮ General form of some rational recursive sequences ⋮ Quantitative bounds for positive solutions of a Stević difference equation ⋮ Global asymptotic stability of a family of nonlinear difference equations ⋮ Global behavior of \(x_{n + 1} = (\alpha + \beta x_{n - k}) /(\gamma + x_n)\) ⋮ On a conjecture for a higher-order rational difference equation

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 of a higher order rational difference equation
• Global asymptotic stability in some discrete dynamical systems
• The global attractivity of the rational difference equation \(y_n = \frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}\)
• Global attractivity for a family of nonlinear difference equations
• Global asymptotic stability in a class of generalized Putnam equations
• Qualitative properties for a fourth-order rational difference equation
• Global behavior for a fourth-order rational difference equation
• Global asymptotic stability in a class of Putnam-type equations
• The rule of trajectory structure and global asymptotic stability for a nonlinear difference equation

This page was built for publication: Global asymptotic stability of a family of difference equations