Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces

被引：64

作者：

Xue, Xingmei ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Nonlinear nonlocal initial condition; Equicontinuous semigroup; m-dissipative operator; Hausdorff's measure of noncompactness; EVOLUTION-EQUATIONS; CAUCHY-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; MILD SOLUTIONS; EXISTENCE; INCLUSIONS; UNIQUENESS;

D O I：

10.1016/j.na.2008.03.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give the existence of integral solutions for nonlinear differential equations with nonlocal initial conditions under the assumptions of the Hausdorff Measure or noncompactness in separable and uniformly smooth Banach spaces. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2593 / 2601

页数：9

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