Existence and stability of periodic solutions for a forced pendulum with time-dependent damping

被引：2
|
作者：
Liao, Fang-Fang [1 ,2 ]
Liang, Zaitao [3 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing, Jiangsu, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China
[3] Hohai Univ, Coll Sci, Nanjing, Jiangsu, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2018年
基金：
中国国家自然科学基金;
关键词：
Damped pendulum; Third order approximation method; Poincare-Birkhoff fixed point theorem; POINCARE-BIRKHOFF THEOREM; DIFFERENTIAL-EQUATIONS; NEWTONIAN EQUATION; GEOMETRIC THEOREM; DAMPED PENDULUM; OSCILLATIONS; SYSTEMS;
D O I：
10.1186/s13661-018-1028-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence, multiplicity and stability of periodic solutions for a forced pendulum with time-dependent damping. The proof is based on the third order approximation method and a suitable version of the Poincare-Birkhoff fixed point theorem.
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页数：15
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