Electron. J. Diff. Equ., Vol. 2016 (2016), No. 02, pp. 1-16.

Existence and exponential stability of anti-periodic solutions in cellular neural networks with time-varying delays and impulsive effects

Changjin Xu

In this article we study a cellular neural network with impulsive effects. By using differential inequality techniques, we obtain verifiable criteria on the existence and exponential stability of anti-periodic solutions. An example is included to illustrate the feasibility and of our main results.

Submitted November 4, 2014. Published January 4, 2016.
Math Subject Classifications: 34C25, 34K13, 34K25.
Key Words: Cellular neural network; anti-periodic solution; impulse; exponential stability; time-varying delay.

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Changjin Xu
Guizhou Key Laboratory of Economics System Simulation
School of Mathematics and Statistics
Guizhou University of Finance and Economics
Guiyang 550004, China
email: xcj403@126.com