Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 860152, 12 pages
Research Article

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

Received 4 June 2008; Accepted 8 September 2008

Academic Editor: Guang Zhang

Copyright © 2008 Ibrahim Yalcinkaya. 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.


A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations zn+1=(tnzn1+a)/(tn+zn1),tn+1=(zntn1+a)/(zn+tn1),n=0,1,2,, where the parameter aϵ(0,) and the initial values (zk,tk)ϵ(0,) (for k=1,0).