Global behavior of a higher order nonlinear difference equation

DOI10.1016/j.jmaa.2004.06.014zbMath1066.39008OpenAlexW2153767860MaRDI QIDQ1766720

Lin-Lin Wang, Yong-Hong Fan, Wang-Tong Li

Publication date: 8 March 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.014

zbMATH Keywords

oscillationglobal solutionsdifference equationPermanencesemi-cycleGlobal asymptotical stability

Mathematics Subject Classification ID

Related Items (4)

On the recursive sequence \(y_{n+1} = \frac {\alpha+y_{n-1}}{\beta+y_{n}} + \frac {y_{n-1}}{y_{n}}\) ⋮ Dynamics of a family of nonlinear delay difference equations ⋮ Existence of nonnegative solutions for discrete Robin boundary value problems with sign-changing weight ⋮ Global behavior of the nonlinear difference equation \(x_{n+1}=f(x_{n - s},x_{n - t})\)

Cites Work

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• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
• Lyness-type equations in the third quardrant
• Global attractivity in a nonlinear second‐order difference equation
• Open problems and conjectures

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