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

Article

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

VIEWS 769
PDF 325

Abstract
Full-Text HTML
Full-Text PDF
How to Cite

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.