Discrete Dynamics in Nature and Society 
Volume 2006 (2006), Article ID 58532, 15 pages
doi:10.1155/DDNS/2006/58532

Existence criteria and classification schemes for positive solutions of second-order nonlinear difference systems

Wan-Tong Li,1 Can-Yun Huang,1 and Sui Sun Cheng2

 1School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu, China
2Department of Mathematics, National Tsing Hua University, Hsinchu 30043, Taiwan, China
Received 1 May 2006; Accepted 19 July 2006

Abstract

Classification schemes for positive solutions of a class of second-order nonlinear difference systems are given in terms of their asymptotic magnitudes; and necessary as well as sufficient conditions for the existence of these solutions are also provided. Finally, some examples are given to illustrate the main results.