Open Access

Global behavior of a higher-order rational difference equation

Advances in Difference Equations20062006:027637

https://doi.org/10.1155/ADE/2006/27637

Received: 17 January 2006

Accepted: 12 April 2006

Published: 28 August 2006

Abstract

We investigate in this paper the global behavior of the following difference equation: , n = 0,1,..., under appropriate assumptions, where b [0, ∞), k ≥ 1, i0, i1,...,i2k {0,1,...} with i0 <i1 < ... <i2k, the initial conditions . We prove that unique equilibrium of that equation is globally asymptotically stable.

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Authors’ Affiliations

(1)
Department of Mathematics, Guangxi College of Finance and Economics

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Copyright

© H. Xi and T. Sun. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.