| YoshiZawa型周期解定理和Massera型周期解定理研究进展简介 |
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| 引用本文： | 范猛,王克.YoshiZawa型周期解定理和Massera型周期解定理研究进展简介[J].数学进展,2003,32(3):295-302. |
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| 作者姓名： | 范猛 王克 |
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| 作者单位： | 东北师范大学数学系,植被生态教育部重点实验室,长春,吉林,130024,中国 |
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| 基金项目： | 国家自然科学基金(10171010,10201005)，教育部科学技术研究重点项目(01061)，吉林省杰出青年基金 |
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| 摘 要： | 微分方程解的有界性和周期解的存在性是檄分方程理论研究中的两个重要课题，二者之间有着紧密的联系．在解的有界性与周期解的存在性的研究中，Yoshizawa周期解定理和Massera周期解定理是非常重要的结果，具有重要的理论意义和应用价值．本文以Yoshizawa型周期解定理和Massera型周期解定理的研究为主，简要介绍泛函微分方程周期解理论研究方面的一些新进展。
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| 关 键 词： | Yoshizawa型周期解定理 Massera型周期解定理 研究进展 时滞泛函微分方程 有界性 存在性 |
| 文章编号： | 1000-0917(2003)03-0295-08 |
| 修稿时间： | 2000年12月4日 |
Synopsis of Yoshizawa Type and Massera Type Theorems on the Existence of Periodic Solutions |
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| FAN Meng,WANG Ke.Synopsis of Yoshizawa Type and Massera Type Theorems on the Existence of Periodic Solutions[J].Advances in Mathematics,2003,32(3):295-302. |
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| Authors: | FAN Meng WANG Ke |
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| Abstract: | The boundedness of solutions and the existence of periodic solutions are two important fields in the theory of differential equations, among which Yoshizawa's Theorem and Massera's Theorem on the existence of periodic solutions are very important and famous. Recently, many authors have devoted themselves to the study of Yoshizawa type and Massera type theorem obtain many excellent results. In this paer, we would like to expound these results and present some new progress in the research of periodic solutions of functional differential equations. |
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| Keywords: | periodic solutions Yoshizawa type theorem Massera type theorem |
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