Global asymptotic stability for a higher order nonlinear rational difference equations

DOI10.1016/J.AMC.2006.06.019zbMath1110.39011OpenAlexW2016525479MaRDI QIDQ858859

Zhu Zhao, Xing-Xue Yan, Wang-Tong Li

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.019

zbMATH Keywords

boundednessglobal asymptotic stabilityrational difference equationinvariant intervalsperiod two solutions

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

Related Items (7)

Dynamics and Bifurcation of A second Order Rational Difference Equation with Quadratic Terms ⋮ On the period-two cycles of \(x_{n + 1} = (\alpha + \beta x_n + \gamma x_{n - k})/(A + Bx_n + Cx_{n - k})\) ⋮ Global asymptotic stability of the higher order equation \(x_{n+1} = \frac{ax_{n}+bx_{n-k}}{A+Bx_{n-k}}\) ⋮ Global stability of a rational difference equation ⋮ Dynamics of Kth Order Rational Difference Equation ⋮ Dynamics of a rational difference equation ⋮ Stability and bifurcations analysis of a competition model with piecewise constant arguments

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