两类Lagrange系统的周期解

西南师范大学学报(自然科学版)

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两类Lagrange系统的周期解

两类Lagrange系统的周期解[J]. 西南师范大学学报(自然科学版), 2001, 26(3).

引用本文:

两类Lagrange系统的周期解[J]. 西南师范大学学报(自然科学版), 2001, 26(3).

Periodic Solutions for Two Classes of Lagrangian Systems[J]. Journal of Southwest China Normal University(Natural Science Edition), 2001, 26(3).

Citation:

Periodic Solutions for Two Classes of Lagrangian Systems[J]. Journal of Southwest China Normal University(Natural Science Edition), 2001, 26(3).

摘要: 用极小作用原理研究了具有次可加位势或具有次线性非线性项的Lagrange系统的周期解，得到了几个存在性定理.
- Lagrange系统 /
- 次可加函数 /
- 次线性映射 /
- 周期解 /
- 极小作用原理
Abstract: Periodic solutions of Lagrangian systems is studied with subadditive potentials or sublinear nonlinearity by the least action principle. And some existence theorems are obtained.
- Lagrangian systems /
- subadditive function /
- sublinear function /
- periodic solutions /
- the least action principle .