Lp theory for semilinear nonlocal problems with measure of noncompactness in separable Banach spaces

被引：13

作者：

Xue, Xingmei ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2009年 / 5卷 / 01期

关键词：

Nonlocal initial condition; equicontinuous; C-0-semigroup; Hausdorff measure of noncompactness; mild solution; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; CAUCHY-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; MILD SOLUTIONS; EXISTENCE; INCLUSIONS; UNIQUENESS;

D O I：

10.1007/s11784-008-0090-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of mild solutions for semilinear differential equations with nonlocal initial conditions in a separable Banach space X. We derive conditions in terms of the Hausdorff measure of noncompactness under which mild solutions exist in L-p(0, b; X). For illustration, a partial integral differential system is worked out.

引用

页码：129 / 144

页数：16

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