Electron. J. Diff. Equ., Vol. 2013 (2013), No. 251, pp. 1-10.

Existence of infinitely many periodic solutions for second-order Hamiltonian systems

Hua Gu, Tianqing An

Abstract:
By using the variant of the fountain theorem, we study the existence of infinitely many periodic solutions for a class of superquadratic nonautonomous second-order Hamiltonian systems.

Submitted June 21, 2013. Published November 20, 2013.
Math Subject Classifications: 34C25, 58E05.
Key Words: Periodic solution; Hamiltonian systems; critical point; variational method.

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Hua Gu
College of Science, Hohai University
Nanjing 210098, China
email: guhuasy@hhu.edu.cn
Tianqing An
College of Science, Hohai University
Nanjing 210098, China
email: antq@hhu.edu.cn

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