| 一类二阶非线性迭代微分方程的周期解 |
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| 引用本文： | 唐美兰,刘心歌,刘心笔.一类二阶非线性迭代微分方程的周期解[J].吉林大学学报(理学版),2006,44(4):541-546. |
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| 作者姓名： | 唐美兰 刘心歌 刘心笔 |
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| 作者单位： | 1.中南大学 数学科学与计算技术学院, 长沙 410083 2.中南大学 材料科学与工程学院, 长沙 410083 |
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| 摘 要： | 用更精确的先验估计及重合度理论研究一类二阶迭
代微分方程x¨(t)+g(x(x(t)))=f(t,x(t),x·(t))周期解的存在性, 得出了周期解存在的充分条件.
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| 关 键 词： | 迭代泛函微分方程 周期解 拓扑度 |
| 文章编号： | 1671-5489(2006)04-0541-06 |
| 收稿时间： | 2005-06-09 |
| 修稿时间： | 2005年6月9日 |
Periodic Solutions to a Class of Second Order Nonlinear Differential-iterative Equations |
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| TANG Mei-lan,LIU Xin-ge,LIU Xin-bi.Periodic Solutions to a Class of Second Order Nonlinear Differential-iterative Equations[J].Journal of Jilin University: Sci Ed,2006,44(4):541-546. |
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| Authors: | TANG Mei-lan LIU Xin-ge LIU Xin-bi |
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| Institution: | 1.School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410083, China 2.School of Materials Science and Engineering, Central South University, Changsha 410083, China |
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| Abstract: | By means of better prior estimate and the topologial degree,the existence of periodic solutions to a class of the second order functional differential-iterative equations(t) g(x(x(t)))=f(t,x(t),(t)) was studied,and sufficient conditions of the equation with periodic solutions were obtained. |
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| Keywords: | functional differential-iterative equation periodic solution topologial degree |
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