Quantitative bounds for the recursive sequence \(y_{n} + 1 = A + \frac {{y}_{n}}{{y}_{n-k}}\)

DOI10.1016/j.aml.2005.09.009zbMath1119.39004OpenAlexW2086259619MaRDI QIDQ2371095

Stevo Stević, Kenneth S. Berenhaut, John D. Foley

Publication date: 29 June 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.09.009

zbMATH Keywords

global asymptotic stabilityrational difference equationrecursive equation

Mathematics Subject Classification ID

Related Items (20)

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Cites Work

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• On the recursive sequence \(x_{n+1}=\frac{A}{\prod^ k_{i=0}x_{n-i}}+\frac{1}{\prod^{2(k+1)}_{j=k+2}x_{n-j}}\).
• Global stability of \(y_{n+1}=A+\frac{y_n}{y_{n-k}}\)
• A Note on the Difference Equation x n +1 = ∑ i =0 k α i x n − i p i
• Necessary and sufficient conditions for the boundedness of
• Progress Report on Rational Difference Equations

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