Periodicity and attractivity of a nonlinear higher order difference equation

DOI10.1016/J.AMC.2003.12.034zbMath1068.39034OpenAlexW1969370325MaRDI QIDQ1763306

Guang Zhang, Li-Jie Zhang

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.034

zbMATH Keywords

equilibriumpermanencePeriodicityinvariant intervalAttractivitytwo-periodic positive solution

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

Related Items (4)

Stability and periodicity in discrete delay equations ⋮ On the difference equation \(x_{n+1}=\frac{a+bx_{n-k}^{cx_n-m}}{1+g(x_{n-1})}\) ⋮ On the recursive sequence \(x_{n+1}=\frac{a x^p_{n-2m+1}}{b+cx_{n-2k}^{p-1}}\) ⋮ Periodicity and attractivity for a rational recursive sequence

Cites Work

• Unnamed Item
• On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_{n-1}}{1+g(x_n)}\)
• On the recursive sequence \(x_{n+1}=x_{n-1}/g(x_n)\)
• Global stability for a class of difference equation
• Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)

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