On the boundedness character of some rational difference equations

DOI10.1080/10236190701852695zbMath1153.39016OpenAlexW1976635267MaRDI QIDQ3514856

Ying Sue Huang, Peter M. Knopf

Publication date: 23 July 2008

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

Full work available at URL: https://doi.org/10.1080/10236190701852695

zbMATH Keywords

boundednessbounded solutionsdifference equationrational equation

Mathematics Subject Classification ID

Related Items (5)

Degenerate Neimark–Sacker bifurcation of a second-order rational difference equation ⋮ Some boundedness results for systems of two rational difference equations ⋮ Periodic pattern repetition for unbounded solutions to finite difference equations ⋮ Boundedness properties of the generalized Todd's difference equation ⋮ Neimark–Sacker bifurcation of a third-order rational difference equation

Cites Work

• On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\)
• The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures
• On the boundedness of some rational difference equations
• Open Problems and Conjectures
• Boundedness of Positive Solutions of Second-order Rational Difference Equations
• Open Problems and Conjectures
• Boundedness properties of the difference equationx_n+1=(α+βx_n+δx_n−2)/(x_n−1)
• Open Problems and Conjectures
• On the boundedness character of rational equations, part 2
• Open Problems and Conjectures
• Progress report on the boundedness character of third-order rational equations

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