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具分布时滞SICNN_s周期解的存在性(英文)
引用本文:陈安平,杜德军.具分布时滞SICNN_s周期解的存在性(英文)[J].湘南学院学报,2010,31(5).
作者姓名:陈安平  杜德军
作者单位:1. 湘潭大学,数学与计算科学学院,湖南,湘潭,411105;湘南学院,数学系,湖南,郴州,423000
2. 湘潭大学,数学与计算科学学院,湖南,湘潭,411105
基金项目:国家自然科学基金项目(10371103); 湖南省教育厅基金项目(05A057,04A055)
摘    要:利用重合度理论和微分不等式技巧,研究了具分布时滞和变系数SICNNs周期解的存在性,获得了一些新的充分准则.本文结果补充已有文献的结论.

关 键 词:周期解  分路抑制细胞神经网络  变系数  时变时滞  微分不等式技巧

Existence of periodic solution to shunting inhibitory cellular neural networks with time-varying delays
CHEN An-ping,DU De-jun.Existence of periodic solution to shunting inhibitory cellular neural networks with time-varying delays[J].Journal of Xiangnan University,2010,31(5).
Authors:CHEN An-ping  DU De-jun
Institution:CHEN An-ping1,2,DU De-jun1(1.School of Mathematics , Computational Science,Xiangtan University,Xiangtan 411105,China,2.Department of Mathematics,Xiangnan University,Chenzhou 423000,China.)
Abstract:This paper study the existence of periodic solution to shunting inhibitory cellular neural networks(SICNNs) with time-varying delays and variable coefficients,by using the continuation theorem of coincidence degree theory and differential inequality technique.A new sufficient criteria is established to ensure the existence of periodic solution to SCINNs.The result of this paper is new and it complements previously known results.
Keywords:Periodic solution  shunting inhibitory cellular neural networks  variable coefficients  time-varying delays  differential inequality technique  
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