| 一类高阶脉冲时滞微分方程的周期解 |
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| 引用本文： | 王琳琳.一类高阶脉冲时滞微分方程的周期解[J].兰州大学学报(自然科学版),2006,42(4):114-118. |
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| 作者姓名： | 王琳琳 |
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| 作者单位： | 鲁东大学,数学与信息学院,山东,烟台,264025 |
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| 基金项目： | 鲁东大学校科研和教改项目 |
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| 摘 要： | 利用拓扑度理论对一类高阶非线性脉冲泛函微分方程进行了探讨.研究表明在适当的线性周期脉冲扰动下,该脉冲时滞方程保持了原非脉冲时滞方程的周期性,也推广了相关结论.
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| 关 键 词： | 重合度 周期解 脉冲 泛函微分方程 |
| 文章编号： | 0455-2059（2006）04-0114-05 |
| 收稿时间： | 2004-08-02 |
| 修稿时间： | 2004-08-022005-12-20 |
Periodic solutions to higher order nonlinear impulsive differential equations with several delays |
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| WANG Lin-lin.Periodic solutions to higher order nonlinear impulsive differential equations with several delays[J].Journal of Lanzhou University(Natural Science),2006,42(4):114-118. |
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| Authors: | WANG Lin-lin |
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| Institution: | School of Mathematics and Information, Ludong University, Yantai 264025, Shandong, China |
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| Abstract: | A kind of high order impulsive delay differential equations are investigated. It is shown that under the appropriate linear periodic impulsive perturbations, the impulsive delay equation preserves the original periodic properties of the non-impulsive delay equations. Our results have improved and generalized some related conclusions in references. |
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| Keywords: | coincidence degree periodic solution impulsive functional differential equation |
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