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.
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页码：129 / 144
页数：16
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