| 基于极小作用原理的Lagrange系统周期解的存在性 |
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| 引用本文： | 张俐.基于极小作用原理的Lagrange系统周期解的存在性[J].吉首大学学报(自然科学版),2009,30(4):34-36. |
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| 作者姓名： | 张俐 |
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| 作者单位： | （湖南商务职业技术学院,湖南 长沙 410205） |
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| 摘 要： | 利用变分方法中的极小作用原理在一定的条件下讨论了Lagrange系统周期解的存在性.介绍了极小作用原理，给出了从讨论Lagrange系统的周期解的存在性到讨论相应的泛函临界点的存在性的转化，在强制性条件下讨论了Lagrange系统周期解的存在性.
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| 关 键 词： | Lagrange系统 周期解 极小原理 |
Periodic Solutions of Some Lagrange Systems Based on Least Action Principle |
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| ZHANG Li.Periodic Solutions of Some Lagrange Systems Based on Least Action Principle[J].Journal of Jishou University(Natural Science Edition),2009,30(4):34-36. |
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| Authors: | ZHANG Li |
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| Institution: | （Hunan Vocational College of Commerce,Changsha 410205,China） |
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| Abstract: | The periodic solutions of some Lagrange systems with suitable conditions are studied through the least action principle theorems in variational methods.The author presents some applications of the least principle on Lagrange systems.The author introduces the results obtained by the least action principle and the study of the transformation of the periodic solutions of Lagrange systems to the solutions of corresponding Euler equation.The periodic solutions of some Lagrange systems are studied with the coercivity conditions. |
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| Keywords: | Lagrange systems periodic solutions least principle |
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