Existence, compactness, and connectedness of solution sets to nonlocal and impulsive Cauchy problems

被引：3

作者：

Chang, Jung-Chan ^{[1
]}

机构：

[1] I Shou Univ, Dept Financial & Computat Math, Kaohsiung 84001, Taiwan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 06期

关键词：

compact semigroup; fixed point theorem; impulsive condition; integral inequality; Kneser property; nonlocal condition; PARTIAL-DIFFERENTIAL-EQUATIONS; SYSTEMS;

D O I：

10.1002/mma.6139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using some well-known inequalities and Schaefer fixed point theorem, we show existence results for impulsive Cauchy problems with nonlocal conditions. The compactness of solution sets can be shown in some certain conditions. Moreover, connectedness of solution sets to impulsive Cauchy problems is shown.

引用

页码：3586 / 3601

页数：16

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