On the existence of impulsive neutral evolution differential inclusions with infinite delay

被引：0
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作者：
Kai-Biao Lin
Hsiang Liu
Chin-Tzong Pang
机构：
[1] Xiamen University of Technology,School of Computer and Information Engineering
[2] Yuan Ze University,Department of Information Management
[3] Yuan Ze University,Department of Information Management, Innovation Center for Big Data and Digital Convergence
来源：
Advances in Difference Equations | / 2015卷
关键词：
condensing mapping; evolution family; fixed point principle; impulsive neutral evolution differential inclusions; infinite delay; measure of noncompactness; 34K30; 34K40; 34G25; 47H04; 47H10;
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摘要：
In this paper, we use a fixed point principle regarding a condensing mapping with some measure of noncompactness. We assume there is no compactness assumption, and we give sufficient conditions for the existence of mild solutions to some classes of impulsive neutral evolution differential inclusions with infinite delay. A concrete example is presented in the end to illustrate the abstract theorem.
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