| 一类具分布时滞的高阶泛函微分方程的周期解存在性问题 |
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| 引用本文： | 李晓静,刘敏. 一类具分布时滞的高阶泛函微分方程的周期解存在性问题[J]. 数学研究, 2008, 41(1): 13-23 |
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| 作者姓名： | 李晓静 刘敏 |
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| 作者单位： | 安徽师范大学数学系,安徽,芜湖,241000 |
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| 摘 要： | 利用Fourier级数理论。伯努利数理论和重合度理论研究了一类具分布时滞的高阶泛函微分方程x^（m）（t）＋f（x^（m-1）（t）＋g（∫-r^0x（t＋s）da（s））=p^（t）的周期解问题,得到了周期解存在的一些新结果．
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| 关 键 词： | 高阶 泛函微分方程 重合度 周期解 |
| 修稿时间： | 2006-11-19 |
On the Existence of Periodic Solutions for a Kind of High-order Functional Differential Equation with Distributed Delay |
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| Li Xiaojing,Liu Min. On the Existence of Periodic Solutions for a Kind of High-order Functional Differential Equation with Distributed Delay[J]. Journal of Mathematical Study, 2008, 41(1): 13-23 |
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| Authors: | Li Xiaojing Liu Min |
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| Affiliation: | Li Xiaojing Liu Min (Department of Mathematics, Anhui Normal University Wuhu Anhui 241000) |
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| Abstract: | By using the theory of Fourier series, Bernoulli number theory and continuation theory of coincidence degree theorem, we study a kind of high-order functional di erential equation with distributed delay as follows:x(m)(t)+f(x(m-1)(t))+g(∫o-rx(t + s)dα(s)) = p(t).Some new results on the existence of periodic solutions are obtained. |
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| Keywords: | Periodic solution High-order Functional di erential equation Coincidence degree theory |
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