| 具有无穷时滞中立型积分微分方程的周期解 |
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| 引用本文： | 江娇,徐建华,韩茂安. 具有无穷时滞中立型积分微分方程的周期解[J]. 数学物理学报(A辑), 2008, 28(5): 897-905 |
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| 作者姓名： | 江娇 徐建华 韩茂安 |
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| 作者单位： | [1]上海海事大学数学系,上海200135 [2]上海师范大学数学系,上海200234 |
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| 摘 要： | 该文利用矩阵测度和Schauder不动点定理研究了具有无穷时滞Volterra型积分微分方程周期解的存在性、唯一性及一致稳定性, 获得了一些判别准则, 推广和改进了有关的结果.
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| 关 键 词： | 穷时滞 Volterra型积分微分方程 中立型 周期解 |
| 收稿时间： | 2006-12-10 |
| 修稿时间： | 2008-01-08 |
Periodic Solutions of Neutral Integro-Differential Equations with Infinite Delay |
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| Jiang Jiao,Xu Jianhua,Han Maoan. Periodic Solutions of Neutral Integro-Differential Equations with Infinite Delay[J]. Acta Mathematica Scientia, 2008, 28(5): 897-905 |
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| Authors: | Jiang Jiao Xu Jianhua Han Maoan |
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| Affiliation: | (Department of Mathematics, Shanghai Maritime University, Shanghai 200135); (Department of Mathematics, Shanghai Normal University, Shanghai 200234) |
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| Abstract: | In this paper, by using the method of matrix measure and Schauder’s fixed-point theorem, the authors consider the existence and uniform stability of a unique periodic solution for neutral Volterra integro-differential equations with infinite delay, extend and improve the corresponding results. |
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| Keywords: | Infinite delayzz Volterra integro-differential equationzz Neutralzz Periodic solutionzz |
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