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Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential |
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| Authors: | Zhiyong Wang Jihui Zhang Zhitao Zhang |
| Affiliation: | 1. Department of Mathematics, Nanjing University of Information Science & Technology, Nanjing 210044, Jiangsu, People’s Republic of China;2. Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097, Jiangsu, People’s Republic of China;3. Academy of Mathematics and Systems Sciences, Institute of Mathematics, The Chinese Academy of Sciences, Beijing 100080, People’s Republic of China |
| Abstract: | Some existence theorems are obtained for periodic solutions of a class of non-autonomous second order Hamiltonian systems with local superquadratic potential, by making use of the generalized mountain pass theorem. |
| Keywords: | Periodic solutions Hamiltonian systems Local superquadratic potential Generalized mountain pass theorem |
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