| THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION |
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| 引用本文： | 赵杰民,黄克累,陆启韶. THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION[J]. 应用数学和力学(英文版), 1994, 15(1): 49-59. DOI: 10.1007/BF02451027 |
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| 作者姓名： | 赵杰民 黄克累 陆启韶 |
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| 作者单位： | Zhao Jie-minHuang Ke-lei Lu Qi-shaoDepartment of Applied Mathematics and Physics，Peking University of Aeronauties and Astronautics，Beijing. 100083 |
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| 基金项目： | Project Supported by the National Science Foundation, the Aviation Science Foundation, and the Research Foundation for Doctorate Programs of Universities. |
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| 摘 要： | ＴＨＥＥＸＩＳＴＥＮＣＥＯＦＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳＦＯＲＡＣＬＡＳＳＯＦＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＡＮＤＴＨＥＩＲＡＰＰＬＩＣＡＴＩＯＮＺｈａｏＪｉｅ－ｍｉｎ（赵杰民）；ＨｕａｎｇＫｅ－ｌｅｉ（黄克累）...
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| 收稿时间： | 1992-11-10 |
The existence of periodic solutions for a class of functional differential equations and their application |
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| Zhao Jie-min,Huang Ke-lei,Lu Qi-shao. The existence of periodic solutions for a class of functional differential equations and their application[J]. Applied Mathematics and Mechanics(English Edition), 1994, 15(1): 49-59. DOI: 10.1007/BF02451027 |
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| Authors: | Zhao Jie-min Huang Ke-lei Lu Qi-shao |
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| Affiliation: | Department of Applied Mathematics and Physics, Peking University of Aeronauties and Astronautics, Beijing, 100083 |
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| Abstract: | In this paper, four sufficiency theorems of existence of periodic solutions for a class of retarded functional differential equations are given. The result of these theorems is better than the well-known Yoshizawa’s periodic solution theorem. An example of application is given at the end. Project Supported by the National Science Foundation, the Aviation Science Foundation, and the Research Foundation for Doctorate Programs of Universities. |
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| Keywords: | retarded functional differential equation. periodic solution boundedness of solutions |
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