Existence of Periodic Solutions of Sublinear Hamiltonian Systems 被引量：3

Existence of Periodic Solutions of Sublinear Hamiltonian Systems

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摘要 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. 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.

作者 Wei DING Ding Bian QIAN Chao WANG Zhi Guo WANG

机构地区 School of Sciences School of Mathematical Sciences School of Mathematical Science

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2016年第5期621-632,共12页 数学学报（英文版）

基金 Supported by National Natural Science Foundation of China(Grant Nos.11501308,11271277 and 11571249) Jiangsu Government Scholarship for Overseas Studies

关键词 Periodic solutions critical points IMPACTS bouncing solutions nonsmooth saddle point theorem Periodic solutions, critical points, impacts, bouncing solutions, nonsmooth saddle point theorem

分类号 O175 [理学—数学]

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参考文献1

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