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Existence of periodic solutions of sublinear Hamiltonian systems |
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| Authors: | Wei Ding Ding Bian Qian Chao Wang Zhi Guo Wang |
| Institution: | 1.School of Sciences, Nantong University, Nantong 226007, P. R. China;2.School of Mathematical Sciences, Soochow University, Suzhou 215006, P. R. China;3.School of Mathematical Science, Yancheng Teachers University, Yancheng 224002, P. R. China |
| Abstract: | The variational method is used to obtain some existence theorems of periodic solutions of sublinear systems with or not with impacts under suitable growth conditions. Compared with normal systems, impact systems need additional conditions to ensure the existence of periodic bouncing solutions. |
| Keywords: | Periodic solutions critical points impacts bouncing solutions nonsmooth saddle point theorem |
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