Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 243291, 6 pages
Research Article

On the Asymptotic Behavior of a Difference Equation with Maximum

Fangkuan Sun

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 xn=max{A/xn-1α,B/xn2β}, n=0,1,, where 0<α,β<1,A,B>0. We prove that every positive solution to this equation converges to x=max{A1/(α+1),B1/(β+1)}.