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Methods of analytical mechanics for solving differential equations of first order
作者姓名:吴惠彬  梅凤翔
作者单位:Faculty of Science, Beijing Institute of Technology,Beijing 100081, China;Faculty of Science, Beijing Institute of Technology,Beijing 100081, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No 10272021) and the Doctorate Foundation of the State Education Ministry of China (Grant No 20040007022).
摘    要:

关 键 词:机械分析方法  微分方程  泊松法  数学分析
收稿时间:3/4/2005 12:00:00 AM
修稿时间:2005-03-042005-07-24

Methods of analytical mechanics for solving differential equations of first order
Wu Hui-Bin and Mei Feng-Xiang.Methods of analytical mechanics for solving differential equations of first order[J].Chinese Physics B,2005,14(12):2391-2394.
Authors:Wu Hui-Bin and Mei Feng-Xiang
Institution:Faculty of Science, Beijing Institute of Technology,Beijing 100081, China
Abstract:A differential equation of first order can be expressed by the equation of motion of a mechanical system. In this paper, three methods of analytical mechanics, i.e. the Hamilton--Noether method, the Lagrange--Noether method and the Poisson method, are given to solve a differential equation of first order, of which the way may be called the mechanical methodology in mathematics.
Keywords:analytical mechanics  differential equation  Noether theory  Poisson method
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