Abstract and Applied Analysis

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

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

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 915451, 20 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620704

Digital Object Identifier
doi:10.1155/2010/915451

Mathematical Reviews number (MathSciNet)
MR2601225

Zentralblatt MATH identifier
1204.34092

Citation

Yang, Xinsong; Cao, Jinde; Huang, Chuangxia; Long, Yao. Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays. Abstr. Appl. Anal. 2010 (2010), Article ID 915451, 20 pages. doi:10.1155/2010/915451. https://projecteuclid.org/euclid.aaa/1288620704


Export citation