Asymptotic behavior of equilibrium point for a class of nonlinear difference equation

DOI10.1155/2009/214309zbMath1216.39018OpenAlexW2153839326WikidataQ59219661 ScholiaQ59219661MaRDI QIDQ537145

Qi-Hong Shi, Shu Wang, Linrui Li, Fei Gong, Chang You Wang

Publication date: 19 May 2011

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/214309

zbMATH Keywords

asymptotic behaviornonlinear difference equationrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22)

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Cites Work

• On the positive solutions of the difference equation \(x_{n+1}=(x_{n-1})/(1+x_{n} x_{n-1})\).
• On the recursive sequence \(x_n = \frac{ax_{n-1}+bx_{n-2}}{c+dx_{n-1}x_{n-2}}\)
• On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\).
• Stability properties of nonlinear difference equations and conditions for boundedness
• A rational difference equation
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