| 一类泛函微分方程周期解的存在性及其表达式 |
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| 引用本文： | 郭丽,朱鲜野,孙纪方.一类泛函微分方程周期解的存在性及其表达式[J].吉林大学学报(理学版),2008,46(4):661-664. |
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| 作者姓名： | 郭丽 朱鲜野 孙纪方 |
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| 作者单位： | 1. 吉林大学 数学研究所, 长春 130012; 2. 北华大学 数学学院, 吉林 吉林 132013；3. 吉林省经济管理干部学院， 长春 130012 |
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| 摘 要： | 利用周期解配成恰当微分方程产生法, 给出一类泛函微分方程周期解存在的充分条件, 并利用分步求解法给出了相应的周期解表达式.
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| 关 键 词： | 周期解 恰当微分方程 分步求解法 |
| 收稿时间： | 2007-12-07 |
Existence and Expression of Periodic Solutions of a Class of Functional Differential Equations |
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| GUO Li,ZHU Xian-ye,SUN Ji-fang.Existence and Expression of Periodic Solutions of a Class of Functional Differential Equations[J].Journal of Jilin University: Sci Ed,2008,46(4):661-664. |
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| Authors: | GUO Li ZHU Xian-ye SUN Ji-fang |
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| Institution: | 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China;3. Jilin Province Economics and Management Cadres College, Changchun 130012, China |
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| Abstract: | The present paper deals with the periodic solutions for a class of functional differential equations. Sufficient conditions that guaranteed the existence of periodic solutions for this problem were obtained by the method of pairing exact differential equation. The expressions of periodic solutions were obtained by the fractionalstep method. Furthermore, some examples were presented to illustrate the main result in this paper. |
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| Keywords: | periodic solution exact differential equation fractional step method |
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