On the global asymptotic stability of the difference equation \(x_{n}=\frac {x_{n-1}x_{n-2}+x_{n-3}+a}{x_{n-1}+x_{n-2}x_{n-3}+a}\)

DOI10.1016/J.AMC.2005.01.093zbMath1093.39012OpenAlexW2209337922MaRDI QIDQ2490982

Xiaofan Yang

Publication date: 18 May 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.01.093

zbMATH Keywords

global asymptotic stabilitypositive equilibriumrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

Related Items (6)

On the difference equation \(x_{n+1}= \frac{px_{n-s} + x_{n-t}}{qx_{n-s} + x_{n-t}}\) ⋮ On the solutions of a higher order difference equation ⋮ Solution and attractivity for a rational recursive sequence ⋮ On the recursive sequence \(x_{n+1}=\frac{A\Pi^k_{i=l}x_{n-2i-1}}{B+C \Pi^{k-1}_{i=l}x_{n-2i}}\) ⋮ Stability of a generalized Putnam equation ⋮ Unnamed Item

Cites Work

• Global asymptotic stability and oscillation of a family of difference equations
• Global asymptotic stability in some discrete dynamical systems
• Global asymptotic stability for two recursive difference equations.
• Positive nonlinear difference equations: Some results and applications.
• Global Asymptotic Stability in a Rational Equation*
• On a Class of Difference Equations with Strong Negative Feedback

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