| 具无穷时滞的中立型Volterra积分微分方程的概周期解 |
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| 引用本文： | 方聪娜,王全义.具无穷时滞的中立型Volterra积分微分方程的概周期解[J].纯粹数学与应用数学,2009,25(3):546-555. |
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| 作者姓名： | 方聪娜 王全义 |
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| 作者单位： | 方聪娜(集美大学理学院,福建,厦门,361021);王全义(华侨大学数学科学学院,福建,泉州,362021) |
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| 摘 要： | 研究了一类具无穷时滞的中立型Volterra积分微分方程的概周期解问题．利用线性系统指数型二分性理论和泛函分析方法，得到了一些关于该方程的概周期解的存在性、唯一性与稳定性的新结果，推广了相关文献的主要结果．
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| 关 键 词： | 无穷时滞 概周期解 存在性 唯一性 稳定性 |
The almost periodic solution of neutral Volterra integro-differential equations with infinite delay |
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| FANG Cong-na ,WANG Quan-yi.The almost periodic solution of neutral Volterra integro-differential equations with infinite delay[J].Pure and Applied Mathematics,2009,25(3):546-555. |
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| Authors: | FANG Cong-na WANG Quan-yi |
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| Institution: | FANG Cong-na 1,WANG Quan-yi 2 ( 1.School of Science,Jimei University,Xiamen 361021,China,2.School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China) |
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| Abstract: | This paper deals with the problem on the almost periodic solutions to a class of neutral Volterra integro-differential equations with infinite delay. Using the theory of exponential dichotomies of linear system and the method of functional analysis, we obtain some new results on the existence and uniqueness and stability of almost periodic solution for the equations, and extend the main results of corresponding papers. |
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| Keywords: | infinite delay almost periodic solution existence uniqueness stability |
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