Boundedness and some convergence properties of the difference equation

DOI10.1080/10236198.2010.491826zbMath1237.39006OpenAlexW2003143157MaRDI QIDQ3225487

Peter M. Knopf, Ying Sue Huang

Publication date: 21 March 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2010.491826

zbMATH Keywords

convergenceperiodic solutionsboundednessrational 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)

Related Items (3)

On the period-two cycles of \(x_{n + 1} = (\alpha + \beta x_n + \gamma x_{n - k})/(A + Bx_n + Cx_{n - k})\) ⋮ Periodic pattern repetition for unbounded solutions to finite difference equations ⋮ Boundedness properties of the generalized Todd's difference equation

Cites Work

• Unnamed Item
• Boundedness properties of the difference equationx_n+1=(α+βx_n+δx_n−2)/(x_n−1)

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