| 具分布时滞SICNNs周期解的存在性 |
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| 引用本文： | 陈安平,杜德军.具分布时滞SICNNs周期解的存在性[J].郴州师范高等专科学校学报,2010(5):8-17. |
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| 作者姓名： | 陈安平 杜德军 |
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| 作者单位： | [1]湘潭大学数学与计算科学学院,湖南湘潭411105 [2]湘南学院数学系,湖南郴州423000 |
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| 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） |
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| 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SICNN,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．
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| 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 |
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| CHEN An-ping,DU De-jun.Existence of periodic solution to shunting inhibitory cellular neural networks with time-varying delays[J].Journal of Chenzhou Teachers College,2010(5):8-17. |
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| Authors: | CHEN An-ping DU De-jun |
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| Institution: | 1. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China; 2. Department of Mathematics, Xiangnan University, Chenzhou 423000, China) |
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| 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. |
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| Keywords: | Periodic solution shunting inhibitory cellular neural networks variable coefficients time-varying delays differential inequality technique |
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