On the difference equation \(y_{n+1} = \frac {\alpha +\beta e^{-y_n}}{\gamma +y_{n-1}}\)

DOI10.1016/j.amc.2006.03.007zbMath1108.39012OpenAlexW2227575700MaRDI QIDQ856136

N. E. Zubov

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.03.007

zbMATH Keywords

boundednesspositive solutionsrational difference equationsglobal asymptotically stability

Mathematics Subject Classification ID

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Cites Work

• On the difference equation \(x_{n+1}=\frac{a+\alpha x_n+\alpha x_{n-1}+\cdots+\alpha x_{n-k+2}}{x_{n-k+1}}\)
• On the difference equation \(x_{n+1}=\alpha+\beta x_{n-1}e^{-x_n}\).
• Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
• On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )
• Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)
• Unnamed Item

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