On the global attractivity of two nonlinear difference equations

DOI10.1007/s10958-011-0474-8zbMath1290.37007OpenAlexW2038924316MaRDI QIDQ2248280

M. A. El-Moneam, Elsayed M. E. Zayed

Publication date: 25 June 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0474-8

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25)

Related Items (13)

Degenerate Neimark–Sacker bifurcation of a second-order rational difference equation ⋮ Unnamed Item ⋮ Global stability of a higher-order difference equation ⋮ On the dynamics of the nonlinear rational difference equation \(x_{n+1}=Ax_{n}+Bx_{n-k}+Cx_{n-l}+\frac{bx_{n-k}}{dx{n-k}-ex{n-1}}\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a system of two high-order nonlinear difference equations ⋮ On stability analysis of higher-order rational difference equation ⋮ On the rational recursive sequence \(x_{n+1}=Ax_{n}+Bx_{n-k}+\frac{\beta x_{n}+\gamma x_{n-k}}{cx_{n}+Dx_{n-k}}\) ⋮ Dynamics of the nonlinear rational difference equation \({x_{n + 1}} = \frac{Ax_{n - \alpha}x_{n - \beta} + Bx_{n - \gamma}} {Cx_{n - \alpha}x_{n - \beta} + Dx_{n - \gamma}} \) ⋮ On the solutions of three-dimensional rational difference equation systems ⋮ On the rational difference equation y n + 1 = α 0 y n + α 1 y n − p + α 2 y n − q + α 3 y n − r + α 4 y n − s β 0 y n + β 1 y n − p + β 2 y n − q + β 3 y n − r + β 4 y n − s ⋮ Bifurcation and periodically semicycles for fractional difference equation of fifth order

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