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具有分布时滞的中立型神经网络周期解的存在性
引用本文:董大鹏,胡成,蒋海军.具有分布时滞的中立型神经网络周期解的存在性[J].新疆大学学报(理工版),2013(4):408-417.
作者姓名:董大鹏  胡成  蒋海军
作者单位:新疆大学数学与系统科学学院,新疆乌鲁木齐830046
基金项目:国家自然科学基金(61164004);新疆自然科学基金(2010211A07).
摘    要:运用k-集合压缩算子的抽象连续定理,研究了一类具有分布时滞的中立型细胞神经网络,得到了该类神经网络存在周期解的充分条件.

关 键 词:中立型神经网络  分布时滞  周期解  k-集合压缩

Periodic Solutions for Neutral-type Neural Networks with Distributed Delays
DONG Da-peng,HU Cheng,JIANG Hai-jun.Periodic Solutions for Neutral-type Neural Networks with Distributed Delays[J].Journal of Xinjiang University(Science & Engineering),2013(4):408-417.
Authors:DONG Da-peng  HU Cheng  JIANG Hai-jun
Institution:(College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang 830046, China)
Abstract:A class of neutral neural networks with distributed delays is investigated by applying abstract continuation theorem of k-set contractive operator, Some sufficient criteria are derived to ensure the existence of periodic solution of the addressed neural networks with neutral delays.
Keywords:Neutral neural network  Distributed delay  Periodic solution  k-set contraction
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