Dynamics of the difference equation \(x_{n+1}=p_n+\frac{x_{n-k}}{x_n}\) with a period-two coefficient

DOI10.1016/j.amc.2013.11.020zbMath1364.39012OpenAlexW2201837592MaRDI QIDQ529876

Özkan Öcalan

Publication date: 9 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.020

zbMATH Keywords

dynamicsglobal attractivityperiodic solutionboundedness character

Mathematics Subject Classification ID

Periodic solutions of difference equations (39A23)

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Asymptotic behavior of a new class of nonlinear rational difference equations ⋮ On the difference equation \(x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )\) ⋮ Dynamics of difference equation \(x_{n+1}=f( x_{n-l},x_{n-k})\) ⋮ New method to obtain periodic solutions of period two and three of a rational difference equation ⋮ Global asymptotic stability of a nonautonomous difference equation

Cites Work

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• On the Asymptotic Stability of a Class of Linear Difference Equations
• Global behavior of solutions of the nonlinear difference equation