Positive periodic solution to an indefinite singular equation

被引：8

作者：

Cheng, Zhibo ^{[1
]}

Cui, Xiaoxiao ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454000, Henan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 112卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Fixed point theorem in cones; Indefinite singularity; Green's function; positive periodic solution; 2ND-ORDER DIFFERENTIAL-EQUATIONS; SYSTEMS;

D O I：

10.1016/j.aml.2020.106740

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of a positive periodic solution for nonlinear differential equation with an indefinite singularity by using Green's function and fixed point theorem in cones. The results are applicable to weak as well as strong singularities. At last, we give one example to show the application of the theorem. Published by Elsevier Ltd.

引用

页数：7

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