二阶微分方程求解周期解的变分方法

J4 ›› 2013, Vol. 51 ›› Issue (02): 164-168.

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Periodic Solutions of Second Order Differential Equations

JIA Xiuli¹, WANG Zhenhua², GUAN Lihong³

1. Department of Basic Course, Jilin Business and Technology College, Changchun 130062, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China;3. College of Science, Changchun University, Changchun 130022, China

Received:2012-09-07 Online:2013-03-26 Published:2013-03-27
Contact: WANG Zhenhua E-mail:wangzh0610@live.cn

Abstract

Abstract:

The periodic solutions of a class of second order differential equations were studied with the equivalent variational method. By finding suitable transformation, the original secondorder periodic boundary value problem was reduced to the firstorder periodic boundary value problem in which the periodic solution is more easily obtained. Finally, the application to a class of examples was given to illustrate the potential of this method.

Key words: differential equation, periodic solution, equivalent variation

CLC Number:

O175.1

GU Xiu-Li, WANG Zhen-Hua, GUAN Li-Gong. Periodic Solutions of Second Order Differential Equations[J].J4, 2013, 51(02): 164-168.

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Periodic Solutions of Second Order Differential Equations

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