Global asymptotical stability of a second order rational difference equation

DOI10.1016/j.camwa.2007.03.013zbMath1148.39004OpenAlexW2049486900MaRDI QIDQ929114

Hong-Wu Xu, Lin-Xia Hu, Wang-Tong Li

Publication date: 12 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.03.013

zbMATH Keywords

boundednessglobal attractordifference equationpositive equilibriumglobal asymptotical stabilitysemicycleinvariant interval

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

Related Items

Local stability of period two cycles of second order rational difference equation ⋮ Dynamics of a higher-order nonlinear difference equation ⋮ Global stability of a rational difference equation ⋮ Dynamics of a rational difference equation ⋮ Global attractivity of a higher-order nonlinear difference equation ⋮ Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\)

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