| 一类时滞微分方程周期解的存在性与Maslov型指标估计(英文) |
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| 引用本文： | 成荣,徐中兵.一类时滞微分方程周期解的存在性与Maslov型指标估计(英文)[J].南京大学学报(自然科学版),2011(1). |
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| 作者姓名： | 成荣 徐中兵 |
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| 作者单位： | 南京信息工程大学数理学院; |
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| 基金项目： | Supported by the Specialized Research Fund for the Doctoral Program of Higher Education for New Teachers and the Science Research Foundation of Nanjing University of Information Science and Technology(20070049) |
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| 摘 要： | 本文研究一类可以变换成哈密顿系统的时滞微分方程.通过对辛道路的Maslov型指标的估计,在较先前文献中更弱的条件下,建立了这类方程周期解的存在性定理.
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| 关 键 词： | 周期解 时滞微分方程 Maslov型指标 |
THE EXISTENCE OF PERIODIC SOLUTIONS OF A CLASS OF DIFFERENTIAL DELAY EQUATIONS BY ESTIMATING MASLOV INDEX |
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| Cheng Rong , Xu Zhongbing.THE EXISTENCE OF PERIODIC SOLUTIONS OF A CLASS OF DIFFERENTIAL DELAY EQUATIONS BY ESTIMATING MASLOV INDEX[J].Journal of Nanjing University: Nat Sci Ed,2011(1). |
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| Authors: | Cheng Rong Xu Zhongbing |
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| Institution: | Cheng Rong and Xu Zhongbing (College of Mathematics and Physics,Nanjing University of Information Science and Technology,Nanjing,210044 PRC) |
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| Abstract: | In this paper,a class of differential delay equations which can be transformed into Hamiltonian systems are considered.By making use of Maslov index for symplectic paths,the existence of periodic solutions for differential delay equations is established under weaker conditions than those assumed in previous papers. |
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| Keywords: | periodic solutions differential delay equations Maslov index |
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