| 一类二阶线性周期边值问题解的存在唯一性的构造性证明 |
| |
| 引用本文： | 彭泽丽,李维国. 一类二阶线性周期边值问题解的存在唯一性的构造性证明[J]. 数学理论与应用, 2009, 29(1): 1-5 |
| |
| 作者姓名： | 彭泽丽 李维国 |
| |
| 作者单位： | 中国石油大学数学与计算科学学院,东营257061 |
| |
| 摘 要： | 本文利用初值问题方法给出了一类二阶线性周期边值问题解的存在唯一性的构造性证明，并利用数值延拓方法，给出了计算实例。因此提供了一种大范围求解这类方程周期解的方法。
|
| 关 键 词： | 周期解 构造性证明 常微分方程 |
A Constructive Proof of Periodic Boundary Value Problems of One Class of Second Order Linear ODE |
| |
| Peng Zeli Li Weiguo. A Constructive Proof of Periodic Boundary Value Problems of One Class of Second Order Linear ODE[J]. Mathematical Theory and Applications, 2009, 29(1): 1-5 |
| |
| Authors: | Peng Zeli Li Weiguo |
| |
| Affiliation: | School of Mathematics and Computational Science;University of Petr oleum;Dongying;257061 |
| |
| Abstract: | In this paper,with the initial value problems method,a constructive proof of periodic boundary value problems of one class of linear second order ODE is given.Meanwhile,with the use of the numerical continuation method,a example is computed.This approach provides a global method for finding periodic solutions of these equations. |
| |
| Keywords: | Periodic solution Constructive proof ODE |
| 本文献已被 CNKI 维普 等数据库收录！ |
