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Birkhoff系统的时间积分定理
  • 期刊名称：物理学报. 56(5). 2479-2481, 2007.05
  • 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]湖州师范学院物理系,湖州313000, [2]北京理工大学力学系,北京100081
  • 相关基金：国家自然科学基金（批准号：10572021）资助的课题.
  • 相关项目：微分方程的分析力学方法
关键词： BIRKHOFF系统, 时间积分等式, 类功率方程, 变分原理, Birkhoff system, time-integral identity, power-like equation, variational principle
中文摘要：

研究Birkhoff系统的时间积分定理．建立Birkhoff系统的时间积分等式，由此等式导出系统的类功率方程，Pfaff-Birkhoff积分变分原理以及Pfaff-Birkhoff-d’Alembert微分变分原理．

英文摘要：

The purpose of this paper is to study the time-integral theorems for the Birkhoff systems. A time-integral identity of the systems is presented. The power-like equation, the Pfaff-Birkhoff integral variational principle and the Pfaff-Birkhoff-d＇Alembert differential variational principle of the systems are deduced by using the time-integral identity.

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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