| 带有Lagrange乘子的变分及其离散差分 |
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| 引用本文： | 格日措毛,周福军.带有Lagrange乘子的变分及其离散差分[J].首都师范大学学报(自然科学版),2011,32(1):9-12. |
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| 作者姓名： | 格日措毛 周福军 |
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| 作者单位： | 1. 北京首都师范大学数学科学学院,北京,100048;青海师范大学民族师范学院数学系,西宁,810008
2. 北京首都师范大学数学科学学院,北京,100048 |
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| 基金项目： | 国家自然科学基金重点项目 |
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| 摘 要： | 对于完整约束的力学系统,不直接消去不独立坐标,而是在作用量中引人Lagrange乘子,本文介绍了带Lagrange有乘子的拉氏和哈氏形式的变分原理,以及介绍带有Lagrange乘子的差分系统的离散变分方法和其差分离散变分方法,并且把所得结果与传统形式(即消去不独立坐标)的结果进行比较.
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| 关 键 词： | Lagrange乘子 变分 离散 差分 |
With Lagrange-multiplier Variation and Discrete Difference |
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| Ge RCM,Zhou Fujun.With Lagrange-multiplier Variation and Discrete Difference[J].Journal of Capital Normal University(Natural Science Edition),2011,32(1):9-12. |
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| Authors: | Ge RCM Zhou Fujun |
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| Institution: | Ge RCM1,2 Zhou Fujun1(1.School of Mathematic Science,CNU,Beijing 100048,2.Department of Mathematic of NNS of QHNU,Xining 810008) |
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| Abstract: | For a complete constraints mechanical system,we did not expunction noindependent coordinates,but introduce Lagrange-multiplier in action-quantity.We are introduced variation principle of both lagrange form and Hamilton form with Lagrange-multiplier.Also we are introduce the discrete variation method of difference system and difference discrete variation method with Lagrange-multiplier.Last compare the results with the traditional form(expunction no-independent coordinates) in example. |
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| Keywords: | Lagrange-multiplier Variation Discrete Difference |
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