Electron. J. Diff. Equ., Vol. 2015 (2015), No. 99, pp. 1-8.

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

Wen Guan, Da-Bin Wang

Abstract:
By using minimax methods and critical point theory, we obtain infinitely many periodic solutions for a second-order nonautonomous Hamiltonian systems, when the gradient of potential energy does not exceed linear growth.

Submitted November 11, 2014. Published April 14, 2015.
Math Subject Classifications: 34C25, 58E50.
Key Words: Periodic solutions; Minimax methods; linear; Hamiltonian system; critical point.

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Wen Guan
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu 730050, China
email: mathguanw@163.com
Da-Bin Wang
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu 730050, China
email: wangdb96@163.com

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