| 一类概周期系数微分方程的概周期解 |
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| 引用本文： | 孟艳双,杨振起.一类概周期系数微分方程的概周期解[J].山东大学学报(理学版),2006,41(5):87-90. |
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| 作者姓名： | 孟艳双 杨振起 |
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| 作者单位： | 山东交通学院,数理系,山东,济南,250023 |
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| 摘 要： | 利用指数二分性, Schauder不动点定理和Grownwall不等式,证明了一类概周期系数微分方程的概周期解的存在惟一性及概周期解的全局吸引性.
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| 关 键 词： | 指数二分性 Schauder不动点定理 Grownwall不等式 概周期解 全局吸引性 |
| 文章编号： | 1671-9352（2006）05-0087-04 |
| 收稿时间： | 2005-05-11 |
| 修稿时间： | 2005年5月11日 |
The almost periodic solution to differential equations with almost periodic coefficients |
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| MENG Yan-shuang,YANG Zhen-qi.The almost periodic solution to differential equations with almost periodic coefficients[J].Journal of Shandong University,2006,41(5):87-90. |
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| Authors: | MENG Yan-shuang YANG Zhen-qi |
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| Institution: | Department of mathematic, Shandong Jiaotong Univ. , Jinan 250023, Shandong, China |
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| Abstract: | A kind of differential equations with almost periodic coefficients is investigated. By means of exponential dichotomy, the Schauder fixed point theorem, the Grownwall inequality, it proves the existence uniqueness and the global attractiveness of the almost periodic solution. |
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| Keywords: | exponential dichotomy the Schauder fixed point theorem the Grownwall inequality almost periodic solution global attractiveness |
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