Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 243291, 6 pages
On the Asymptotic Behavior of a Difference Equation with Maximum
College of Computer Science, Chongqing University, Chongqing 400044, China
Received 25 May 2008; Revised 6 June 2008; Accepted 18 June 2008
Academic Editor: Stevo Stevic
Copyright © 2008 Fangkuan Sun. 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.
We study the asymptotic behavior of positive solutions to
the difference equation ,
where . We prove that every positive solution to this equation converges to .