Periodic solutions of planar Hamiltonian systems with asymmetric nonlinearities

被引：0

作者：

Wang, Zaihong ^{[1
]}

Ma, Tiantian ^{[2
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Capital Normal Univ, Editorial Dept Journal, Beijing 100048, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2017年

关键词：

asymmetric nonlinearity; periodic solution; Poincare-Birkhoff twist theorem; POINCARE-BIRKHOFF THEOREM; SEMILINEAR DUFFING EQUATIONS; RESONANCE; MULTIPLICITY; EXISTENCE;

D O I：

10.1186/s13661-017-0780-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we look for periodic solutions of planar Hamiltonian systems { x' = f (y) + p(1)(t, y), {y' = -g( x) + p(2)(t, x). By using the Poincare- Birkhoff twist theorem, we prove the existence and multiplicity of periodic solutions of the given system when f satisfies an asymmetric condition and the related time map satisfies an oscillating condition.

引用

页数：16

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