Existence of solutions for a second-order differential equation with non-instantaneous impulses and delay

被引：30

作者：

Colao, Vittorio ^{[1
]}

Muglia, Luigi ^{[1
]}

Xu, Hong-Kun ^{[2
,3
]}

机构：

[1] Univ Calabria, Dipartimento Matemat & Informat, I-87036 Cosenza, Italy

[2] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

[3] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2016年 / 195卷 / 03期

关键词：

Impulsive differential equation; Fixed-point theorem; Compactness; Unbounded interval; GLOBAL EXISTENCE; POPULATION; SUM;

D O I：

10.1007/s10231-015-0484-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish existence of solutions for a second-order differential equation with non-instantaneous impulses and delay on an unbounded interval. A compactness criterion in a certain class of functions is established, which then permits to reduce the differential equation to an equivalent fixed-point problem.

引用

页码：697 / 716

页数：20

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