Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 860152, 12 pages
doi:10.1155/2008/860152

On the global asymptotic stability of a second-order system of difference equations

Ibrahim Yalcinkaya

Department of Mathematics, Faculty of Education, University of Selcuk, 42099 Meram Yeni Yol, Konya, Turkey

Abstract

A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations zn+1=(tnzn−1+a)/(tn+zn−1),  tn+1=(zntn−1+a)/(zn+tn−1),  n=0,1,2,…, where the parameter aϵ(0,∞) and the initial values (zk,tk)ϵ(0,∞) (for k=−1,0).