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时滞细胞神经网络方程概周期解的存在唯一性 被引量:2

The Existence and Uniqueness of Almost Periodic Solution of The Cellular Neural Networks with Time Delay
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摘要 主要考虑了一类连续神经网络系统离散化情况.在一定条件下得到了这类方程概周期解的存在性和唯一性以及其全局吸引性.作为应用,最后给出一个例子. In this paper,we discuss discrete-time analogue of one continuous-time neural networks.Under certain conditions,we get the existence,uniqueness and global attractiveness of almost periodic solutions of the equation.As application,this paper gives an example in the last.
出处 《数学的实践与认识》 CSCD 北大核心 2014年第2期277-285,共9页 Mathematics in Practice and Theory
基金 国家自然科学基金(60973051)
关键词 概周期解 存在性 唯一性 神经网络 almost periodic solution existence uniqueness neural network
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参考文献4

  • 1Huang Zhenkunl Wang Xinghua, Gao Feng. The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks[J]. Physics letters A, 2006(350): 182-191.
  • 2Liu BingWen, Huang LiHong. Existence and exponential stability of almost periodic solutions for cellular neural networks with time-varying delays[J]. Physics letters A, 2006(341): 135-144.
  • 3Zhang ShuNian. Existence of almost periodic solutions for difference equations[J]. Ann.of Diff.eqs, 2000, 16(2): 184-206.
  • 4Zhang Shu Nian, Zheng Guang. Almost periodic solutions of delay difference systems[J]. Applied mathematics and computation, 2002(13): 497-516 .

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