Le Van Hien, Tran Thi Loan, Duong Anh Tuan
Abstract:
In this paper, we consider a class of shunting inhibitory cellular
neural networks with continuously distributed delays (SICNNs).
The delays are unbounded and the activation function is not assumed
to be bounded.
Using the continuation theorems of coincidence degree theory,
Lyapunov functional method, we obtain new sufficient conditions for
the existence and local exponential stability of periodic solutions
of (SICNNs). Numerical examples illustrated our results are given.
Submitted December 27, 2007. Published January 12, 2008.
Math Subject Classifications: 34C25, 34K13.
Key Words: Periodic solutions; exponential stability;
unbounded delays; shunting inhibitory; cellular neural networks.
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Le Van Hien Department of Mathematics Hanoi National University of education Add: 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam email: Hienlv@hnue.edu.vn |
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Tran Thi Loan Department of Mathematics Hanoi National University of education Add: 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam email: Tranthiloan2001@yahoo.com |
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Duong Anh Tuan Department of Mathematics Hanoi National University of education Add: 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam email: Tuanda@hnue.edu.vn |
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