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《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (10): 97-108.doi: 10.6040/j.issn.1671-9352.0.2018.600

• • 上一篇    

时标上具有联接项时滞的分流抑制细胞神经网络的概自守解

戴丽华,惠远先*   

  1. 普洱学院数学与统计学院, 云南 普洱 665000
  • 发布日期:2019-10-12
  • 作者简介:戴丽华(1991— ),女,硕士,助教,研究方向为微分方程定性理论. E-mail:hlm2136816@163.com*通信作者简介:惠远先(1983— ),男,博士,讲师,研究方向为微分方程定性理论、生物数学. E-mail:huiyuanxian1983@126.com
  • 基金资助:
    云南省教育厅基金资助项目(2018JS517)

Almost automorphic solutions for shunting inhibitory cellular neural networks with leakage delays on time scales

DAI Li-hua, HUI Yuan-xian*   

  1. School of Mathematics and Statistics, Puer University, Puer 665000, Yunnan, China
  • Published:2019-10-12

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摘要： 提出时标上带联结项时变时滞和连续分布时滞的分流抑制细胞神经网络模型,通过运用时标上线性动力方程的指数二分法和不动点定理,获得所研究模型的概自守解全局指数稳定的充分条件。最后,给出具体例子说明所得结论的有效性。

关键词: 概自守解, 时标, 分流抑制细胞神经网络, 全局指数稳定

Abstract: Shunting inhibitory cellular neural networks(SICNNs)with time-varying delays in the leakage term and continuously distributed delays on time scale T is proposed. Based on the exponential dichotomy of linear dynamic equation on time scales, fixed point theorems on time scales, we obtain some new sufficient conditions for the existence a global exponential stability of almost automorphic solution for the class of neural networks. Moreover, we give convictive numerical examples to show the feasibility of our results. This paper contains the several classes of functional differential equations, including the existence of solutions and the stability of this solution on time scales. Also, some new results are obtained.

Key words: almost automorphic solution, time scale, shunting inhibitory neural network, global exponential stability

中图分类号: 

  • O193
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