EXISTENCE OF MILD SOLUTIONS OF A SEMILINEAR EVOLUTION DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS

被引：0

作者：

Al-Omair, Reem A. ^{[1
]}

Ibrahim, Ahmed G. ^{[2
]}

机构：

[1] King Faisal Univ, Collage Educ Jubail, Dept Math, Jubail Ind City, Saudi Arabia

[2] Cairo Univ, Fac Sci, Dept Math, Cairo, Egypt

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年

关键词：

Evolution operator; generalized Cauchy operator; measure of noncompactness; differential inclusions; nonlocal conditions; mild solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of a mild solution for a semilinear evolution differential inclusion with nonlocal condition and governed by a family of linear operators, not necessarily bounded or closed, in a Banach space. No compactness assumption is assumed on the evolution operator generated by the family operators. Also, we prove that the set of mild solutions is compact.

引用

页数：11

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