Electronic Journal of Differential Equations, Vol. 2006(2006), No. 19, pp. 1-10. Title: Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays Authors: Qiyuan Zhou (Hunan Univ., Changde, Hunan, China) Bing Xiao (Hunan Univ., Changde, Hunan, China) Yuehua Yu (Hunan Univ., Changde, Hunan, China) Abstract: In this paper, we consider shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays. Sufficient conditions for the existence and local exponential stability of almost periodic solutions are established using a fixed point theorem, Lyapunov functional method, and differential inequality techniques. We illustrate our results with an example for which our conditions are satisfied, but not the conditions in [4,6,8]. Submitted December 3, 2005. Published February 7, 2006. Math Subject Classifications: 34C25, s4K13, 34K25. Key Words: Shunting inhibitory cellular neural networks; almost periodic solution; exponential stability; continuously distributed delays.