Open Access

The Periodic Character of the Difference Equation

Advances in Difference Equations20072008:143723

DOI: 10.1155/2008/143723

Received: 3 February 2007

Accepted: 27 November 2007

Published: 3 December 2007

Abstract

In this paper, we consider the nonlinear difference equation , , where with and and the initial values with . We give sufficient conditions under which every positive solution of this equation converges to a ( not necessarily prime ) 2-periodic solution, which extends and includes corresponding results obtained in the recent literature.

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Authors’ Affiliations

(1)
Department of Mathematics, College of Mathematics and Information Science, Guangxi University
(2)
Department of Mathematics, Guangxi College of Finance and Economics

Copyright

© T. Sun and H. Xi. 2008

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.