A new result on the existence of periodic solutions for Rayleigh equations with a singularity of repulsive type

被引：6
|
作者：
Chen, Lijuan [1 ]
Lu, Shiping [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
Rayleigh equation; topological degree; singularity; periodic solution; 2ND-ORDER DIFFERENTIAL-EQUATIONS; DYNAMIC-SYSTEMS;
D O I：
10.1186/s13662-017-1136-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of the existence of periodic solutions is studied for the second-order differential equations with a singularity of repulsive type, x ''(t) + f(x'(t)) + phi(t)x(t) - 1/x'(t) = h(t), where phi and h are T-periodic functions. By using topological degree theory, a new result on the existence of positive periodic solutions is obtained. The interesting thing is that the sign of the function phi(t) is allowed to be changed for t is an element of [0,T].
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收藏
页数：14
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