Advances in Difference Equations
Volume 2006 (2006), Article ID 70461, 10 pages

Convergence and periodicity of solutions for a class of difference systems

Honghua Bin,1 Lihong Huang,2 and Guang Zhang3

1School of Sciences, Jimei University, Xiamen, Fujian 361021, China
2College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China
3Department of Mathematics, Qingdao Institute of Architecture and Engineering, Qingdao, Shandong 266033, China

Received 16 January 2006; Revised 27 July 2006; Accepted 28 July 2006

Copyright © 2006 Honghua Bin et al. 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 class of difference systems of artificial neural network with two neurons is considered. Using iterative technique, the sufficient conditions for convergence and periodicity of solutions are obtained in several cases.