The global attractivity of the rational difference equation 𝑦_{𝑛}=𝐴+(\frac{𝑦_{𝑛-𝑘}}𝑦_{𝑛-𝑚})^{𝑝}

DOI10.1090/S0002-9939-07-08860-0zbMath1134.39002MaRDI QIDQ5429430

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

Publication date: 30 November 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

global attractivitybounded solutionsrational difference equation

Mathematics Subject Classification ID

Related Items (15)

On a class of higher-order difference equations ⋮ Dynamics of non-autonomous difference equation ⋮ Dynamical properties of a class of higher-order nonlinear difference equations ⋮ On the nonautonomous difference equation \(x_{n+1} = A_n + \frac{x^p_{n-1}}{x^q_n}\) ⋮ On the rational difference equation \(x_{n}=1+\frac{(1-x_{n-k})(1-x_{n-l})(1-x_{n-m})}{x_{n-k}+x_{n-l}+x_{n-m}}\) ⋮ Unconditional convergence of difference equations ⋮ Boundedness character of positive solutions of a higher order difference equation ⋮ General form of some rational recursive sequences ⋮ Quantitative bounds for positive solutions of a Stević difference equation ⋮ On the rational recursive sequence \(y_n = A + \frac{y_{n-1}}{y_{n-m}}\) for smalla ⋮ Global stability of a rational symmetric difference equation ⋮ On a conjecture for a higher-order rational difference equation ⋮ On a class of third-order nonlinear difference equations ⋮ On the recursive sequence \(x_{n+1}=A+(x_{n - 1}^p/x_n^q)\) ⋮ On the recursive sequence \(x_n=A+x_{n-k}^p/x_{n-1}^r\)

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