| 一类积分微分方程概周期解的存在性和唯一性 |
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| 引用本文： | 张志信,蒋威.一类积分微分方程概周期解的存在性和唯一性[J].大学数学,2008,24(5). |
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| 作者姓名： | 张志信 蒋威 |
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| 作者单位： | 安徽大学,数学科学学院,合肥,230039 |
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| 基金项目： | 国家自然科学基金(10771001)资助项目;教育部重点项目，安徽大学创新团队项目资助 |
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| 摘 要： | 考虑具无穷时滞的非线性积分微分方程概周期的存在性和唯一性问题,利用矩阵测度和不动点方法获得了一类方程的概周期的存在性和唯一性的充分条件,推广了相应文献的结果.
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| 关 键 词： | 无穷时滞 概周期解 积分微分方程 矩阵测度 |
On the Existence and Uniqueness of Almost Periodic Solutions of a kind of Integro-Differential Equations |
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| ZHANG Zhi-xin,JANG Wei.On the Existence and Uniqueness of Almost Periodic Solutions of a kind of Integro-Differential Equations[J].College Mathematics,2008,24(5). |
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| Authors: | ZHANG Zhi-xin JANG Wei |
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| Abstract: | The existence and uniqueness of periodic solutions of integro-different equations with infinite delay are considered. By combining the theory of matrix measure and the method of fixed point theorem, some sufficient conditions that guarantee the existence and uniqueness of periodic solution of the systems are obtained. |
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| Keywords: | infinite delay almost periodic solution integro-different equation matrix measure |
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