Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 834020, 8 pages
Research Article

Global Behavior of a Higher-Order Difference Equation

Department of Mathematics, Hexi University, Zhangye, Gansu 734000, China

Received 18 March 2010; Revised 28 April 2010; Accepted 4 May 2010

Academic Editor: Elena Braverman

Copyright © 2010 Tuo Li and Xiu-Mei Jia. 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.


This paper is concerned with the global behavior of higher-order difference equation of the form yn+1=(ynexp(β(1-2i=0kaiyn-i)))/(1-yn+ynexp(β(1-2i=0kaiyn-i))), n=0,1,2, y-k,y-k+1,,y0(0,1). Under some certain assumptions, it is proved that the positive equilibrium is globally asymptotical stable.