| 具有分布时滞的Duffing型方程周期解的存在性 |
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| 引用本文： | 张若军,朱宏伟.具有分布时滞的Duffing型方程周期解的存在性[J].中国海洋大学学报(自然科学版),2007,37(2):219-221. |
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| 作者姓名： | 张若军 朱宏伟 |
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| 作者单位： | 中国海洋大学数学系,山东,青岛266071;青岛大学数学科学院,山东,青岛,266071 |
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| 摘 要： | 研究具有分布时滞的Duffing型方程,利用重合度理论研究其周期解的存在性,得到该方程周期解存在的充分条件,所得结果推广和改进了相关文献的结果。
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| 关 键 词： | Duffing型方程 分布时滞 周期解 重合度 |
| 文章编号： | 1672-5174(2007)02-219-03 |
| 修稿时间： | 2006-07-23 |
Existence of Periodic Solutions of Duffing-Type Equations with Distributed Delays |
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| ZHANG Ruo-Jun,ZHU Hong-Wei.Existence of Periodic Solutions of Duffing-Type Equations with Distributed Delays[J].Periodical of Ocean University of China,2007,37(2):219-221. |
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| Authors: | ZHANG Ruo-Jun ZHU Hong-Wei |
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| Institution: | 1. Department of Mathematics, Ocean University of China, Qingdao 266071, China; 2. College of Mathematical Science, Qingdao University, Qingdao 266071, China |
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| Abstract: | In this paper,the existence of periodic solutions of Duffing-type equations with distributed delays is investigated by applying Mawhin's coincidence degree theory,and some sufficient criteria are established for the existence of periodic solutions of Duffing-type equations with distributed delays,which improve some known results in the literature. |
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| Keywords: | duffing-type equation distributed delays periodic solutions coincidence degree |
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