On the dynamics of

DOI10.1080/10236190802287031zbMath1176.39011OpenAlexW2033687099MaRDI QIDQ3396439

Yan-Qin Wang

Publication date: 18 September 2009

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

Full work available at URL: https://doi.org/10.1080/10236190802287031

zbMATH Keywords

convergenceperiodicityasymptotic stabilityequilibriumpositive solutionglobal asymptotic stabilityrational difference equationinvariant interval

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

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Cites Work

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• Global stability of \(y_{n+1} =\frac {p+qy_{n}+ry_{n-k}}{1+y_{n}}\)
• Dynamics of a higher order rational difference equation
• On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\)
• Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
• On rational recursive sequences
• Global attractivity of a higher order nonlinear difference equation
• Dynamics of a rational difference equation
• A rational difference equation