Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces

被引：31

作者：

Balachandran, K ^{[1
]}

Park, JY

Chandrasekaran, M

机构：

[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

[2] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 07期

关键词：

existence theorem; delay integrodifferential equations; fixed-point theorem; nonlocal condition;

D O I：

10.1016/S0893-9659(02)00052-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of mild and strong solutions of nonlinear time varying delay integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces. The results are obtained by using the theory of compact semigroups and Schaefer's fixed-point theorem. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：845 / 854

页数：10

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