| 二阶时滞微分方程周期解的存在唯一性及数值解法 |
| |
| 引用本文： | 殷雪剑,路召飞.二阶时滞微分方程周期解的存在唯一性及数值解法[J].重庆工商大学学报(自然科学版),2011,28(4):334-338. |
| |
| 作者姓名： | 殷雪剑 路召飞 |
| |
| 作者单位： | 1. 安徽大学数学科学学院,合肥,230039
2. 太原科技大学应用科学学院,太原,030024 |
| |
| 摘 要： | 证明了二阶时滞微分方程的周期解存在唯一的一个充分条件,讨论了其周期解的数值解法:利用数值微分和线性插值对微分方程进行离散,得到非线性方程组,再用牛顿法求解;最后给出了实例,说明了方法的有效性.
|
| 关 键 词： | 二阶时滞微分方程 周期解 唯一性 牛顿法 |
Existence and Uniqueness of Periodic Solution to Second-order Delay Differential Equations with a Numerical Solution Method |
| |
| Yin Xue-jian,Lu Zhao-fei.Existence and Uniqueness of Periodic Solution to Second-order Delay Differential Equations with a Numerical Solution Method[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2011,28(4):334-338. |
| |
| Authors: | Yin Xue-jian Lu Zhao-fei |
| |
| Institution: | 1.School of Mathematical Science,Anhui University,Hefei 230039,China;2.School of Applied Science,Taiyuan University of Science and Technology,Taiyuan 030024,China) |
| |
| Abstract: | In this paper,a suffient condition for existence and uniqueness of periodic solution to second-order delay differential equations is proved and numerical solution of its periodic solution of its periodic solution is discussed.Numerical differential and linear interpolation are used to discretize the differential equations set is obtained,then Newton method is used for the solution.Finally,an example illustrates the effectiveness of the method. |
| |
| Keywords: | second-order delay differential equations periodic solution uniqueness Newton method |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《重庆工商大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《重庆工商大学学报(自然科学版)》下载免费的PDF全文 |
|
