Pseudo Almost Periodic Solutions for the Cellular Neural Networks with Piecewise Constant Argument

YU Ji-jie; WANG Ping; ZHOU Yan

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Pseudo Almost Periodic Solutions for the Cellular Neural Networks with Piecewise Constant Argument

更新时间：2026-07-10

- Pseudo Almost Periodic Solutions for the Cellular Neural Networks with Piecewise Constant Argument
- Vol. 16, Issue 6, Pages: 50-54(2011)
- 作者机构：
  
  1. 哈尔滨电力职业技术学院数学系
  2. 哈尔滨理工大学应用科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175
- Published：2011
- 稿件说明：
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YU Ji-jie, WANG Ping, ZHOU Yan. Pseudo Almost Periodic Solutions for the Cellular Neural Networks with Piecewise Constant Argument[J]. 2011, 16(6): 50-54.
DOI：

YU Ji-jie, WANG Ping, ZHOU Yan. Pseudo Almost Periodic Solutions for the Cellular Neural Networks with Piecewise Constant Argument[J]. 2011, 16(6): 50-54. DOI：

摘要

结合生物模型

针对一类具有逐段常变量神经网络系统的伪概周期解的存在性问题

利用伪概周期函数的等价定义、相关性质以及相应的差分方程进行了研究.依据逐段常变量微分方程的解在一点的连续性

构造了一个差分方程

利用差分方程的伪概周期序列解以及方程中有关函数给出了这类微分方程的伪概周期解存在的充分条件.此类神经网络系统结合了微分方程和差分方程的性质

可应用到模式识别、信号处理、联想记忆等方面.

Abstract

Combining with biomedical models

the existence of pseudo almost periodic solution is studied for the cellular neural networks with piecewise constant argument by the definition of pseudo almost periodic function

relevant properties and difference equations.By the continuity of the solution

building a different equation

the sufficient conditions of the existence of pseudo almost periodic solution are given basing on pseudo almost periodic sequence solution of a difference equation and other funct...

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Related Author

YAO Hui-li

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YAO Hui-li

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Related Institution

School of Applied Science,Harbin Univeysity of Science and Technology

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