Positive solutions to superlinear attractive singular impulsive differential equation

被引：2

作者：

Li, Qiuyue ^{[1
,2
]}

Zhou, Yaoming ^{[2
]}

Cong, Fuzhong ^{[1
]}

Liu, Hu ^{[2
]}

机构：

[1] Aviat Univ AirForce, Fundamental Dept, Changchun 130022, Jilin, Peoples R China

[2] Beihang Univ, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 338卷

基金：

中国国家自然科学基金;

关键词：

Impulsive differential equation; Superlinear; Attractive singular; Alternative principle; Fixed point theorem; BOUNDARY-VALUE-PROBLEMS; MULTIPLICITY;

D O I：

10.1016/j.amc.2018.07.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study positive periodic solutions to impulsive differential equation with the attractive singular perturbation. The existence theorem is proved using the Leray Schauder alternative principle and the fixed point theorem. The perturbation term in the equation we are mainly interested in is that it has not only an attractive singularity but also the superlinearity. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：822 / 827

页数：6

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