| 二阶非线性泛函微分方程周期解的存在性 |
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| 引用本文： | 李鹏程. 二阶非线性泛函微分方程周期解的存在性[J]. 吉林大学学报(理学版), 2003, 41(3): 272-278 |
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| 作者姓名： | 李鹏程 |
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| 作者单位： | 广东澄海广播电视大学, 澄海 515800 |
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| 摘 要： | 用重合度理论研究二阶非线性泛函微分方程x″(t)+f(x(t))x′(t)+g(x(t-τ(t)))=p(t)的周期解存在性， 得出了该方程存在T（T>0）周期解的两个充分性定理.
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| 关 键 词： | 二阶 泛函微分方程 周期解 |
| 文章编号： | 1671-5489(2003)03-0272-04 |
| 收稿时间： | 2002-09-04 |
| 修稿时间： | 2002-09-04 |
The Existence of a Periodic Solution in the Second Order Non-linear Functional Diffrential Equation |
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| LI Peng-cheng. The Existence of a Periodic Solution in the Second Order Non-linear Functional Diffrential Equation[J]. Journal of Jilin University: Sci Ed, 2003, 41(3): 272-278 |
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| Authors: | LI Peng-cheng |
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| Affiliation: | Guangdong Chenghai TV University, Chenghai 515800, China |
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| Abstract: | In this paper, the theory of coincidence degree is used to study the existence of a periodic solution for the second order non-linear functional differential equation: x″(t)+f(x(t))x′(t)+g(x(t-τ(t)))=p(t), and two sufficient theorems are obtained for the existence of a periodic solution of T(T>0) of the equation. |
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| Keywords: | second order functional differential equation periodic solution |
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