Multiple periodic solutions for second-order discrete Hamiltonian systems

Volume 10, Issue 2, pp 410--418 http://dx.doi.org/10.22436/jnsa.010.02.07

Publication Date: February 20, 2017 Submission Date: September 23, 2016

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Authors

Da-Bin Wang - Department of Applied Mathematics, Lanzhou University of Technology, 730050 Lanzhou, People’s Republic of China. Man Guo - Department of Applied Mathematics, Lanzhou University of Technology, 730050 Lanzhou, People’s Republic of China.

Abstract

By applying critical point theory, the multiplicity of periodic solutions to second-order discrete Hamiltonian systems with partially periodic potentials was considered. It is noticed that, in this paper, the nonlinear term is growing linearly and main results extend some present results.

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Keywords

• Discrete Hamiltonian systems
• periodic solutions
• the generalized saddle point theorem.

MSC

•  34C25
•  58E50

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