Existence of periodic solutions of sublinear Hamiltonian systems

Authors
Ding, Wei Qian, Ding Bian Wang, Chao Wang, Zhi Guo
Citation
Ding, Wei et al., Existence of periodic solutions of sublinear Hamiltonian systems, Acta mathematica Sinica. English series (Print) , 32(5), 2016, pp. 621-632
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
5
Year of publication
2016
Pages
621 - 632
Database
ACNP
SICI code
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.