Electron. J. Differential Equations, Vol. 2016 (2016), No. 307, pp. 1-14.

Existence of multiple periodic solutions for second-order discrete Hamiltonian systems with partially periodic potentials

Qin Jiang, Sheng Ma, Zhihua Hu

Abstract:
In this article, we use critical point theory to obtain multiple periodic solutions for second-order discrete Hamiltonian systems, when the nonlinearity is partially periodic and its gradient is linearly and sublinearly bounded.

Submitted August 9, 2016. Published November 30, 2016.
Math Subject Classifications: 35k13.
Key Words: Second-order discrete Hamiltonian systems; critical point; multiple periodic solution; generalized saddle point theorem.

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Qin Jiang
Department of Mathematics
Huanggang Normal University
Hubei 438000, China
email: jiangqin999@126.com
Sheng Ma
Department of Mathematics
Huanggang Normal University
Hubei 438000, China
email: masheng666@126.com
Zhihua Hu
Department of Mathematics
Huanggang Normal University
Hubei 438000, China
email: huzhihua123@126.com

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