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.
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.
出处
《吉首大学学报（自然科学版）》
CAS
2009年第4期34-36,共3页
Journal of Jishou University(Natural Sciences Edition)
