Impulsive mild solutions for semilinear differential inclusions with nonlocal conditions in Banach spaces

被引：37

作者：

Cardinali, Tiziana ^{[1
]}

Rubbioni, Paola ^{[1
]}

机构：

[1] Univ Perugia, Dept Math & Informat, I-06123 Perugia, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 02期

关键词：

Nonlocal condition; Impulse; Semilinear differential inclusion; Fixed point; Lower Scorza-Dragoni property; Hausdorff measure of noncompactness; INITIAL CONDITIONS; CAUCHY-PROBLEMS; EXISTENCE; EQUATIONS; CONTROLLABILITY; NONLINEARITIES;

D O I：

10.1016/j.na.2011.09.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we deal with the existence of impulsive mild solutions for semilinear differential inclusions with nonlocal conditions, where the linear part generates an evolution system and the nonlinearity satisfies the lower Scorza-Dragoni property. Our theorems extend the existence propositions proved by Fan in 2010. An example is presented. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：871 / 879

页数：9

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