Solutions to impulsive integrodifferential evolution equations under a noncompact evolution system

被引：0

作者：

Ji, Shaochun ^{[1
]}

Wang, Min ^{[2
]}

机构：

[1] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Peoples R China

[2] Huaiyin Inst Technol, Library, Huaian 223003, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

关键词：

impulsive conditions; nonlocal conditions; integrodifferential equation; mild solution; measure of noncompactness; SEMILINEAR DIFFERENTIAL-EQUATIONS; EXISTENCE; CONTROLLABILITY; INCLUSIONS;

D O I：

10.1186/s13662-015-0638-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of mild solutions to impulsive integrodifferential evolution equations in Banach spaces. Based on a measure of noncompactness and important properties of semicompact sets, new existence results are obtained. Here the evolution system is only supposed to be strongly continuous, without any compact or equicontinuous assumptions. Some applications are given to illustrate the effectiveness of our results.

引用

页数：13

共 28 条

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