| 一类超二次自治哈密顿系统的周期解 |
| |
| 引用本文： | 肖玉明. 一类超二次自治哈密顿系统的周期解[J]. 天津师范大学学报(自然科学版), 2007, 27(4): 38-42 |
| |
| 作者姓名： | 肖玉明 |
| |
| 作者单位： | 天津师范大学,数学科学学院,天津,300387 |
| |
| 摘 要： | 结合Maslov指标理论，利用环绕定理证明了一类超二次自治哈密顿系统的周期解的存在性，而这类哈密顿系统所对应的作用泛函可能不满足Palais—Smale条件．
|
| 关 键 词： | 临界点 周期解 哈密顿系统 |
| 文章编号： | 1671-1114(2007)04-0038-05 |
| 修稿时间： | 2007-06-22 |
Periodic Solutions for a Class of Superquadratic Autonomous Hamiltonian Systems |
| |
| XIAO Yu-ming. Periodic Solutions for a Class of Superquadratic Autonomous Hamiltonian Systems[J]. Journal of Tianjin Normal University(Natural Science Edition), 2007, 27(4): 38-42 |
| |
| Authors: | XIAO Yu-ming |
| |
| Abstract: | The existence of the periodic solutions for a class of superquadratic autonomous Hamiltonian systems is proved by using the linking theorem combining with the Maslov index theory.The action functionals of the Hamiltonian systems may not satisfy the Palais-Smale condition. |
| |
| Keywords: | critical points periodic solutions Hamiltonian systems |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
