Electron. J. Diff. Equ., Vol. 2014 (2014), No. 23, pp. 1-14.

Existence and stability of almost periodic solutions for SICNNs with neutral type delays

Qing-Long Liu, Hui-Sheng Ding

Abstract:
This article concerns the shunting inhibitory cellular neural networks with neutral type delays. Under a weaker condition than the usual Lipschitz condition, we establish the existence and stability of almost periodic solutions for SICNNs with neutral type delays. An example is given to illustrate our main results.

Submitted November 4, 2013. Published January 10, 2014.
Math Subject Classifications: 34C25, 34K13, 34K25.
Key Words: Almost periodic; shunting inhibitory cellular neural networks; neutral type delays; stability.

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Qing-Long Liu
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, Jiangxi 330022, China
email: 758155543@qq.com
Hui-Sheng Ding
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, Jiangxi 330022, China
email: dinghs@mail.ustc.edu.cn

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