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.
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Supported by National Natural Science Foundation of China (Grant Nos. 11501308, 11271277 and 11571249) and Jiangsu Government Scholarship for Overseas Studies
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Ding, W., Qian, D.B., Wang, C. et al. Existence of periodic solutions of sublinear Hamiltonian systems. Acta. Math. Sin.-English Ser. 32, 621–632 (2016). https://doi.org/10.1007/s10114-016-4162-y
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DOI: https://doi.org/10.1007/s10114-016-4162-y