Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed DelaysReport as inadecuate




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Abstract and Applied AnalysisVolume 2010 2010, Article ID 915451, 20 pages

Research Article

Department of Mathematics, Honghe University, Mengzi Yunnan 661100, China

Department of Mathematics, Southeast University, Nanjing 210096, China

Department of Mathematics, College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, China

Received 9 July 2009; Accepted 2 February 2010

Academic Editor: Allan C. Peterson

Copyright © 2010 Xinsong Yang 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.

Abstract

By using the Leray-Schauder fixed point theorem and differential inequality techniques,several new sufficient conditions are obtained for the existence and global exponentialstability of almost periodic solutions for shunting inhibitory cellular neural networks withdiscrete and distributed delays. The model in this paper possesses two characters: nonlinearbehaved functions and all coefficients are time varying. Hence, our model is general andapplicable to many known models. Moreover, our main results are also general and can beeasily deduced to many simple cases, including some existing results. An example and itssimulation are employed to illustrate our feasible results.





Author: Xinsong Yang, Jinde Cao, Chuangxia Huang, and Yao Long

Source: https://www.hindawi.com/



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