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.

引用

页数：19

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