一类非自治二阶哈密顿系统的周期解

J4 ›› 2013, Vol. 51 ›› Issue (01): 57-63.

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Periodic Solutions for a Class of NonautonomousSecond Order |Hamiltonian Systems

WU Yue, AN Tianqing

College of Science, Hohai University, Nanjing 210098, China

Received:2012-04-19 Online:2013-01-26 Published:2013-01-31
Contact: AN Tianqing E-mail:antq@hhu.edu.cn

Abstract

Abstract:

The authors studied the existence of periodic solutions for a class of nonautonomous second order Hamiltonian systemsSome new existence theorems for periodic solutions were obtained via the least action principle and the minimax methods as F=F₁+F₂ satisfied some boundary conditions.

Key words: Hamiltonian systems, periodic solution, saddle point theorem, the least action principle, (PS) condition

CLC Number:

O175.25

TUN Huo, AN Tian-Qiang. Periodic Solutions for a Class of NonautonomousSecond Order |Hamiltonian Systems[J].J4, 2013, 51(01): 57-63.

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Periodic Solutions for a Class of NonautonomousSecond Order |Hamiltonian Systems

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