Sobolev type integrodifferential equation with nonlocal condition in Banach spaces

被引：17

作者：

Balachandran, K ^{[1
]}

Park, JY

机构：

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

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

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2003年 / 7卷 / 01期

关键词：

integrodifferential equation; Sobolev type; nonlocal condition; uniformly continuous semigroup; Schauder's fixed point theorem;

D O I：

10.11650/twjm/1500407525

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the existence of mild and strong solutions of an integrodifferential equation of Sobolev type with nonlocal condition. The results are obtained by using uniformly continuous semigroups and the Schauder fixed point theorem.

引用

页码：155 / 163

页数：9

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