Solutions to impulsive integrodifferential evolution equations under a noncompact evolution system

被引:0
作者
Shaochun Ji
Min Wang
机构
[1] Huaiyin Institute of Technology,Faculty of Mathematics and Physics
[2] Huaiyin Institute of Technology,Library
来源
Advances in Difference Equations | / 2015卷
关键词
impulsive conditions; nonlocal conditions; integrodifferential equation; mild solution; measure of noncompactness; 34A37; 34G20; 47D60;
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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.
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