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带分布时滞的双向联想记忆神经网络周期解的存在性
引用本文:周平平,陈芳启. 带分布时滞的双向联想记忆神经网络周期解的存在性[J]. 应用泛函分析学报, 2011, 13(2): 145-153. DOI: 10.3724/SP.J.1160.2011.00145
作者姓名:周平平  陈芳启
作者单位:南京航空航天大学理学院,南京,211100
基金项目:国家自然科学基金,江苏省自然科学基金
摘    要:讨论了-类带分布时滞的双向联想记忆神经网络周期解的存在性.通过运用Mawhin迭合度连续性定理,和-些不等式的分析技巧,得到了-些保证周期解存在的充分条件.

关 键 词:双向联想记忆神经网络  周期解  存在性  Mawhin连续定理  分布时滞

Existence of Periodic Solutions for Bidirectional Associative Memory Neural Networks with Distributed Delays
ZHOU Pingping,CHEN Fangqi. Existence of Periodic Solutions for Bidirectional Associative Memory Neural Networks with Distributed Delays[J]. Acta Analysis Functionalis Applicata, 2011, 13(2): 145-153. DOI: 10.3724/SP.J.1160.2011.00145
Authors:ZHOU Pingping  CHEN Fangqi
Affiliation:ZHOU Pingping,CHEN Fangqi Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 211100,China
Abstract:The paper is concerned with the existence of periodic solutions for a class of bidirectional associative memory neural networks with distributed delays.By using the Mawhin's continuation theorem for coincidence degree and some inequality analysis techniques,some sufficient conditions are obtained for the existence of periodic solution.
Keywords:BAM neural networks  periodic solution  existence  Mawhin's continuation theorem  distributed delay  
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