Electronic Journal of Differential Equations, Vol. 2008(2008), No. 07, pp. 1-10. Title: Periodic solutions and exponential stability for shunting inhibitory cellular neural networks with continuously distributed delays Authors: Le Van Hien (Hanoi National Univ. of education, Vietnam) Tran Thi Loan (Hanoi National Univ. of education, Vietnam) Duong Anh Tuan (Hanoi National Univ. of education, Vietnam) 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.