| 具分布时滞和变系数细胞神经网络周期解的存在性 |
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| 引用本文： | 王金华.具分布时滞和变系数细胞神经网络周期解的存在性[J].湘南学院学报,2005,26(5):9-13,15. |
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| 作者姓名： | 王金华 |
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| 作者单位： | 湖南大学,数学与计量经济学院,湖南,长沙,410082;湘南学院,数学系,湖南,郴州,423000 |
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| 摘 要： | 利用矩阵测度和不动点定理,研究了一类具分布时滞和变系数的神经网络模型ddtxi=-bi(t)xi(t)+∑nj=1aij(t)fj(t,xj)+∑nj=1bij(t)gj(t,μ∫j0∞kij(u)xj(t-u)du)+Ii(t)的周期解,得到了其周期解存在的一个新的充分条件.
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| 关 键 词： | 细胞神经网络 周期解 矩阵测度 不动点定理 |
| 文章编号： | 1672-8173（2005）05-0009-05 |
| 收稿时间： | 2005-07-08 |
| 修稿时间： | 2005年7月8日 |
Existence of Periodic Solutions for Cellular Neural Networks with Distributed Delays and Variable Coefficients |
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| WANG Jin-hua.Existence of Periodic Solutions for Cellular Neural Networks with Distributed Delays and Variable Coefficients[J].Journal of Xiangnan University,2005,26(5):9-13,15. |
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| Authors: | WANG Jin-hua |
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| Abstract: | Inthis paper,we study the existence of periodic solutions for cellular neural networks(CNNs) withdistributed delays and variable coefficients by usingthe matrix measure andthe fixed-point theoremas follows :dxidt=-bi(t)xi(t) +∑nj=1aij(t)fj(t,xj) +∑nj=1bij(t) gj(t,μ∫j0∞kij(u)xj(t-u) du) +Ii(t).We obtain a newsufficient condition of the existences of periodic solutions of the model. |
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| Keywords: | Cellular neural networks(CNNs) periodic solutions matrix measure fixed-point theorem |
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