Advances in Difference Equations
Volume 2008 (2008), Article ID 143723, 6 pages
The Periodic Character of the Difference Equation
1Department of Mathematics, College of Mathematics and Information Science, Guangxi University, Nanning 530004, Guangxi, China
2Department of Mathematics, Guangxi College of Finance and Economics, Nanning 530003, Guangxi, China
Received 3 February 2007; Revised 18 September 2007; Accepted 27 November 2007
Academic Editor: H. Bevan Thompson
Copyright © 2008 Taixiang Sun and Hongjian Xi. 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.
In this paper, we consider the nonlinear difference equation
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.