Measure of Noncompactness and Semilinear Nonlocal Functional Differential Equations in Banach Spaces

被引：8

作者：

Dong, Qi Xiang ^{[1
]}

Li, Gang ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2015年 / 31卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Measure of noncompactness; equicontinuity; differential equation; nonlocal condition; C-0-semigroup; mild solution; EXISTENCE; INCLUSIONS;

D O I：

10.1007/s10114-015-3097-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the measure of noncompactness in the spaces of continuous functions and semilinear functional differential equations with nonlocal conditions in Banach spaces. The relationship between the Hausdorff measure of noncompactness of intersections and the modulus of equicontinuity is studied for some subsets related to the semigroup of linear operators in Banach spaces. The existence of mild solutions is obtained for a class of nonlocal semilinear functional differential equations without the assumption of compactness or equicontinuity on the associated semigroups of linear operators.

引用

页码：140 / 150

页数：11

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