Attractivity of two nonlinear third-order difference equations

DOI10.1016/j.joems.2013.03.009zbMath1282.39015OpenAlexW1993787210MaRDI QIDQ392324

Raafat Abo-Zeid

Publication date: 13 January 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.03.009

zbMATH Keywords

boundednessasymptotic stabilityperiodic solutionattractivityrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Related Items (6)

Attractivity of the recursive sequence \(x_{n + 1} = (A - B x_{n - 2}) /(C + D x_{n - 1})\) ⋮ Global behavior of a fourth-order difference equation with quadratic term ⋮ On the difference equation \(x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )\) ⋮ Dynamics and solutions of a fifth-order nonlinear difference equation ⋮ On the dynamics of a higher order rational difference equations ⋮ On a fourth order rational difference equation

Cites Work

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• Global attractivity of the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n-1})/(\gamma+x_{n})\)
• Calculation of oscillatory properties of the solutions of two coupled, first order non-linear ordinary differential equations

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