Infinitely many periodic solutions of planar Hamiltonian systems via the Poincare-Birkhoff theorem

被引：1
|
作者：
Wang, Zaihong [1 ]
Ma, Tiantian [2 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing, Peoples R China
[2] Capital Normal Univ, Editorial Dept Journal, Beijing, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2018年
关键词：
Planar Hamiltonian system; Time map; Periodic solution; EXISTENCE; EQUATIONS;
D O I：
10.1186/s13661-018-1022-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the multiplicity of periodic solutions of one kind of planar Hamiltonian systems with a nonlinear term satisfying semilinear conditions. Using a generalized Poincare-Birkhoff fixed point theorem, we prove that the system has infinitely many periodic solutions, provided that the time map tends to zero.
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页数：19
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