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变系数变时滞分层抑制细胞神经网络的概周期解

周艳杰 张丽娟

应用数学2009,Vol.22Issue(2):352-357,6.
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

周艳杰 1张丽娟2

作者信息

  • 1. 北京工商大学应用数学系,北京,100048
  • 2. 烟台海军航空工程学院应用数学所,山东,烟台,264001
  • 折叠

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)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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