The existence of anti-periodic solution for a class of cellular neural networks

Zhouhong Li; Chenxi Yang and Kaihong Zhao

doi:10.17485/ijst/2010/v3i1.1

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The existence of anti-periodic solution for a class of cellular neural networks

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2010/v3i1.1

Year: 2010, Volume: 3, Issue: 1, Pages: 1-5

Original Article

The existence of anti-periodic solution for a class of cellular neural networks

Zhouhong Li, Chenxi Yang and Kaihong Zhao^*

Department of Mathematics, Yuxi Normal University, Yuxi, Yunnan, China-653 100
[email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper, we use the Lyapunov function to establish new results on the existence and uniqueness of antiperiodic solutions for a class of cellular neural networks with time-varying delays and continuously distributed delays of x (t_i)= formula Moreover, we also present an example to illustrate the feasibility and effectiveness of our results.
Keywords: Cellular neural networks, distributed delays, anti-periodic solution, exponential stability, delays.