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

页码：753 / 768

页数：16

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