Existence, uniqueness and regularity of solutions to semilinear nonlocal functional differential problems

被引：18

作者：

Bahuguna, D ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kanpur 208016, Uttar Pradesh, India

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 57卷 / 7-8期

关键词：

nonlocal problem; C-0-semigroup; mild; strong and classical solutions;

D O I：

10.1016/j.na.2004.03.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a semilinear nonlocal functional differential problem in a Banach space. We first establish the existence, uniqueness and continuation of a mild solution. We then prove some regularity results for this mild solution under different conditions. Finally, we consider some applications of the abstract results. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1021 / 1028

页数：8

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