PERIODIC SOLUTION FOR SECOND ORDER DAMPED DIFFERENTIAL EQUATIONS WITH ATTRACTIVE-REPULSIVE SINGULARITIES

被引：14
作者：
Cheng, Zhibo [1 ,2 ]
Ren, Jingli [3 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454000, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[3] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2018年 / 48卷 / 03期
关键词：
Second order differential equation; positive periodic solution; attractive-repulsive singularities; Schauder's fixed point theorem; SUBHARMONIC SOLUTIONS; WEAK SINGULARITIES; SYSTEMS;
D O I：
10.1216/RMJ-2018-48-3-753
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate a kind of second-order nonlinear differential equation with attractive repulsive singularities. By applications of Green's function and Schauder's fixed point theorem, we establish the existence of a positive periodic solution for this equation.
引用
收藏
页码：753 / 768
页数：16
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