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一阶Lagrange力学逆问题的直接解法
引用本文:丁光涛.一阶Lagrange力学逆问题的直接解法[J].动力学与控制学报,2010,8(3):193-196.
作者姓名:丁光涛
作者单位:安徽师范大学物理与电子信息学院,芜湖,241000
摘    要:提出求解一阶Lagrange力学逆问题的新途径;给出由一阶微分方程直接构造Lagrange函数的基本解法,以及几种与不同的补充条件相对应的特殊解法.举例说明所得结果的应用.

关 键 词:Lagrange力学逆问题  微分方程  一阶Lagrange函数
收稿时间:2010/3/29 0:00:00

Direct solutions for inverse problem of first order Lagrangian mechanics
Ding Guangtao.Direct solutions for inverse problem of first order Lagrangian mechanics[J].Journal of Dynamics and Control,2010,8(3):193-196.
Authors:Ding Guangtao
Affiliation:Ding Guangtao(College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China )
Abstract:A new way to solve the inverse problem of the first-order Lagrangian mechanics was presented. The main solution constructing directly from the Lagrangian from first-order differential equation and some special solutions corresponding to different additional conditions were given. An example was given to illustrate the application of the results.
Keywords:inverse problem of Lagrangian mechanics  differential equation  first-order Lagrangian
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