Abstract and Applied Analysis
Volume 2010 (2010), Article ID 915451, 20 pages
doi:10.1155/2010/915451
Existence and global exponential stability of almost periodic solutions for SICNNs with nonlinear behaved functions and mixed delays
Xinsong Yang1
, Jinde Cao2
, Chuangxia Huang3
and Yao Long1
1Department of Mathematics, Honghe University, Mengzi Yunnan 661100, China
2Department of Mathematics, Southeast University, Nanjing 210096, China
3Department of Mathematics, College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, China
Abstract
By using the Leray-Schauder fixed point theorem and differential inequality techniques, several new sufficient conditions are obtained for the existence and global exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with discrete and distributed delays. The model in this paper possesses two characters: nonlinear behaved functions and all coefficients are time varying. Hence, our model is general and applicable to many known models. Moreover, our main results are also general and can be easily deduced to many simple cases, including some existing results. An example and its simulation are employed to illustrate our feasible results.