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微分方程借助辅助变量的Hamilton化与求解
  • 期刊名称：商丘师范学院学报. 23(3). 1-4. 2007.06
  • 时间：0
  • 分类：O316[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]北京理工大学力学系,北京100081
  • 相关基金：国家自然科学基金（10572021）资助项目
  • 相关项目：微分方程的分析力学方法
关键词： 微分方程, Hamilton化, 积分, 分析力学, 辅助变量, differential equation , Hamiltonzation , integral , analytical mechanics , supplementary variable
中文摘要：

用引进辅助变量的方法建立一阶微分方程组的扩充系统．这个扩充系统可表为Hamilton形式，而其积分可用分析力学的方法来得到．举例说明结果的应用．

英文摘要：

An extended system of a system of first-order differential equations is established by introducing some supplementary variables in this paper. The extended system can be written in the Hamilton from and its integrals can be obtained by analytical mechanics method. An example is given to illustrate the application of the result.

同期刊论文项目
微分方程的分析力学方法
期刊论文 102 会议论文 11
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