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微分方程借助辅助变量的Lagrange化与求解

Lagrangization and Solution of Differential Equations by Introducing Supplementary Variables
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摘要 通过引进辅助变量的方法建立微分方程组的扩充系统.这个扩充系统可表示为Lagrange形式,其积分可用分析力学的方法得到.举例说明结果的应用. This paper establishes an extended system of a system of differential equations by introducing some supplementary variables. The extended system can be expressed in the Lagrange Form and its integrals can be found by analytical mechanical method, an example of which is given to illustrate the application of the result.
出处 《湖州师范学院学报》 2008年第1期38-41,共4页 Journal of Huzhou University
基金 国家自然科学基金资助项目(10272021) 高校博士学科点专项基金资助项目(20040007022)
关键词 微分方程 Lagrange化 积分 分析力学 辅助变量 differential equation Lagrangization integral analytical mechanics supplementary variable
作者简介 葛伟宽,教授,从事一般力学及力学中的数学方法研究.
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二级参考文献143

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