Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 812674, 5 pages
doi:10.1155/2009/812674

On the global attractivity of a max-type difference equation

Abstract

We investigate asymptotic behavior and periodic nature of positive solutions of the difference equation xn=max⁡{A/xn−1,1/xn−3α},n=0,1,…, where A>0 and 0<α<1. We prove that every positive solution of this difference equation approaches x¯=1 or is eventually periodic with period 2.