Infinitely many periodic solutions for second-order discrete Hamiltonian systems

Volume 10, Issue 11, pp 5896--5903 http://dx.doi.org/10.22436/jnsa.010.11.26

Publication Date: November 24, 2017 Submission Date: July 28, 2017

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Authors

Da-Bin Wang - Department of Applied Mathematics, Lanzhou University of Technology, 730050 Lanzhou, People's Republic of China. Qin Xiao - Department of Applied Mathematics, Lanzhou University of Technology, 730050 Lanzhou, People's Republic of China. Wen Guan - Department of Applied Mathematics, Lanzhou University of Technology, 730050 Lanzhou, People's Republic of China.

Abstract

Infinitely many periodic solutions are obtained for a second-order discrete Hamiltonian systems by using the minimax methods in critical point theory. Our results extend and improve previously known results.

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Keywords

• Minimax methods
• periodic solutions
• sublinear
• discrete Hamiltonian systems
• critical point

MSC

•  34C25
•  58E50

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