应用数学2009,Vol.22Issue(2):352-357,6.
变系数变时滞分层抑制细胞神经网络的概周期解
Almost Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Variable Coefficients and Time-varying Delays
摘要
Abstract
In this paper,the shunting inhibitory cellular neural networks(SICNNs) with variable coefficients and time-varying delays are considered.Without assuming the global Lipschitz and bounded conditions of activation functions,sufficient conditions for the existence of a unique almost periodic solution for the system are established by using exponential dichotomy and the Banach fixed point theorem.An example is given to illustrate that the criterion are feasible.关键词
概周期解/分层抑制细胞神经网络/指数二分法/不动点定理Key words
Almost periodic solution/Shunting inhibitory cellular neural networks/Exponential dichotomy/Fixed point theorem分类
数理科学引用本文复制引用
周艳杰,张丽娟..变系数变时滞分层抑制细胞神经网络的概周期解[J].应用数学,2009,22(2):352-357,6.基金项目
Supported by Distinguished Expert Science Foundation of Naval Aeronautical and Astronautical University and the Younger Foundation of Yantai University (SX06Z9) (SX06Z9)