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一类二阶哈密顿系统周期解的存在性(英文)
引用本文:孟凤娟.一类二阶哈密顿系统周期解的存在性(英文)[J].河南科学,2010,28(1):21-24.
作者姓名:孟凤娟
作者单位:南京师范大学泰州学院数学系,江苏,泰州,225300
基金项目:Supported by the National Natural Science Foundtion of China(10571027).
摘    要:利用极小作用原理研究一类二阶哈密顿系统周期解的存在性,给出了周期解存在性的一些充分条件,总结改进了现有的一些结果.

关 键 词:次凸位势  周期解  临界点  极小作用原理

Existence of Periodic Solutions for a Class of Second-Order Hamiltonian System
Meng Fengjuan.Existence of Periodic Solutions for a Class of Second-Order Hamiltonian System[J].Henan Science,2010,28(1):21-24.
Authors:Meng Fengjuan
Institution:Meng Fengjuan (Department of Mathematics, Taizhou College, Nanjing Normal University, Taizhou 225300, Jiangsu China)
Abstract:Use the least action principle to investigate periodic solutions of second-order nonautonomous Hamihonian systems, and give out some sufficient conditions of existence for periodic solutions, the results generalizes and improves some known results.
Keywords:subconvex potential  periodic solutions  critical points  the least action principle
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