| EXISTENCE AND ATTRACTIVITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS |
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| 作者姓名： | Xiang Hongjun Wang Jinhua Chen Anping |
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| 作者单位： | Dept. of Math.，Xiangnan University，Chenzhou 423000 |
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| 基金项目： | This work was supported by the Foundation of Hunan Provincial Education Department(04C613, 03C009, 05A057). |
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| 摘 要： | In this paper, a class of two-dimensional shunting inhibitory cellular neural networks with distributed delays and variable coefficients system is studied. By using the Schauder's fixed point theorem and Lyapunov function, we obtain some sufficient conditions about the existence and attractivity of almost periodic solutions to the above system, and all its solutions converge to such almost periodic solution. An example is given to illustrate that the conditions of our results are feasible.
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| 关 键 词： | 分布式延迟 分流抑制神经网络 周期解 固定点 Lyapunov函数 存在性 |
EXISTENCE AND ATTRACTIVITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS |
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| Xiang Hongjun Wang Jinhua Chen Anping.EXISTENCE AND ATTRACTIVITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS[J].微分方程年刊(英文版),2005,21(4):604-615. |
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| Authors: | Xiang Hongjun Wang Jinhua Chen Anping |
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| Institution: | Dept. of Math., Xiangnan University, Chenzhou 423000 |
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| Abstract: | In this paper, a class of two-dimensional shunting inhibitory cellular neural networks with distributed delays and variable coefficients system is studied. By using the Schauder's fixed point theorem and Lyapunov function, we obtain some sufficient conditions about the existence and attractivity of almost periodic solutions to the above system, and all its solutions converge to such almost periodic solution. An example is given to illustrate that the conditions of our results are feasible. |
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| Keywords: | distributed delay shunting inhibitory cellular neural networks almost periodic solution |
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