Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activation functions |
| |
Authors: | Bingwen Liu |
| |
Affiliation: | 1. Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai 200433, PR China;2. College of Mathematics and Information Science, Jiaxing University, Jiaxing, Zhejiang 314001, PR China |
| |
Abstract: | In this paper the shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays are considered. Without assuming the global Lipschitz conditions of activation functions, sufficient conditions for the existence and local exponential stability of the almost periodic solutions are established by using a fixed point theorem, Lyapunov functional method and differential inequality techniques. The results of this paper are new and they complement previously known results. |
| |
Keywords: | 34C25 34K13 34K25 |
本文献已被 ScienceDirect 等数据库收录! |
|