On the rational recursive sequence \(y_n = A + \frac{y_{n-1}}{y_{n-m}}\) for smalla

DOI10.1016/j.aml.2007.07.033zbMath1152.39304OpenAlexW2581323828MaRDI QIDQ998594

John D. Foley, Katherine M. Donadio, Kenneth S. Berenhaut

Publication date: 29 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.aml.2007.07.033

zbMATH Keywords

existencefixed pointperiodicitybinomial coefficientsrational difference equation

Mathematics Subject Classification ID

Related Items (3)

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• On the difference equation \(y_{n+1}=A + \frac {y_n}{y_{n-k}}\) with \(A < 0\)
• On the rational difference equation \(y_{n+1}=A+\frac {y_n}{y_{n-k}}\)
• On the global attractivity and the periodic character of some difference equations
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• A note on positive non-oscillatory solutions of the difference equation

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