Global asymptotic stability of a second-order nonlinear difference equation

DOI10.1016/j.amc.2004.09.040zbMath1098.39005OpenAlexW2078815784MaRDI QIDQ2572741

Wang-Tong Li, You-Hui Su

Publication date: 4 November 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.09.040

zbMATH Keywords

asymptotic stabilityglobal stabilityattractivitysecond order rational difference equation

Mathematics Subject Classification ID

Related Items (11)

Global asymptotic stability for a higher order nonlinear rational difference equations ⋮ The characteristics of a higher-order rational difference equation ⋮ Invariant intervals and global behavior of a higher order difference equation ⋮ Dynamics of a higher-order nonlinear difference equation ⋮ Unconditional convergence of difference equations ⋮ Unnamed Item ⋮ Analytic solutions and stability of sixth order difference equations ⋮ The study of a class of rational difference equations ⋮ On the recursive sequence \(x_{x+1}= \frac{\alpha+\beta x_{n-k+1}}{A+Bx_{n-k+1}+Cx_{n-2k+1}}\) ⋮ QUALITATIVE ANALYSIS OF A FOURTH ORDER DIFFERENCE EQUATION ⋮ Unnamed Item

Cites Work

• Global attractivity in a second-order nonlinear difference equation
• Global attractivity in the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n})/(\gamma-x_{n-1})\)
• Global attractivity in a rational recursive sequence.
• Global attractivity for a class of higher order nonlinear difference equations.
• The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures
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