Solutions to impulsive integrodifferential evolution equations under a noncompact evolution system

Advances in Difference Equations

Shaochun Ji¹  Min Wang² 

[1] Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian, P.R. China;Library, Huaiyin Institute of Technology, Huaian, P.R. China

关键词: impulsive conditions;    nonlocal conditions;    integrodifferential equation;    mild solution;    measure of noncompactness;    34A37;    34G20;    47D60;   

DOI  :  10.1186/s13662-015-0638-9

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY