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

Abstract:
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.

Show me the PDF file (275 KB), TEX file for this article.

Return to the EJDE web page
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