Electron. J. Diff. Equ., Vol. 2013 (2013), No. 77, pp. 1-13.

Existence of periodic solutions for non-autonomous second-order Hamiltonian systems

Yue Wu, Tianqing An

Abstract:
The purpose of this paper is to study the existence of periodic solutions for a class of non-autonomous second order Hamiltonian systems. New results are obtained by using the least action principle and the minimax methods, without the so-called Ahmad-Lazer-Paul type condition.

Submitted January 11, 2013. Published March 19, 2013.
Math Subject Classifications: 34C25, 58F05.
Key Words: Periodic solution; Hamiltonian systems; critical point; variational method.

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Yue Wu
College of Science, Hohai University
Nanjing 210098, China
email: wyue007@126.com
Tianqing An
College of Science, Hohai University
Nanjing 210098, China
email: antq@hhu.edu.cn

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