Global Asymptotic Stability of a Nonautonomous Difference Equation

Mehmet Gümüş and Özkan Öcalan

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: We study the following nonautonomous difference equation: xn+1 = (xnxn−1 + pn)/(xn + xn−1), n = 0,1, …, where pn > 0 is a period‐2 sequence and the initial values x−1, x0 ∈ (0, ∞). We show that the unique prime period‐2 solution of the equation above is globally asymptotically stable.

Date: 2014
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https://doi.org/10.1155/2014/395954

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:395954

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