ON SOME EXISTENCE RESULTS OF MILD SOLUTIONS FOR NONLOCAL INTEGRODIFFERENTIAL CAUCHY PROBLEMS IN BANACH SPACES

被引：8

作者：

Yang, YanLong ^{[1
]}

Wang, JinRong ^{[2
]}

机构：

[1] Guizhou Univ, Coll Technol, Guiyang 550004, Guizhou, Peoples R China

[2] Guizhou Univ, Coll Sci, Guiyang 550025, Guizhou, Peoples R China

来源：

OPUSCULA MATHEMATICA | 2011年 / 31卷 / 03期

关键词：

integrodifferential equations; nonlocal initial condition; completely continuous operator; Schaefer fixed point theorem; mild solutions;

D O I：

10.7494/OpMath.2011.31.3.443

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. The main results are obtained by using the Schaefer fixed point theorem and semigroup theory. Finally, an example is given for demonstration.

引用

页码：443 / 455

页数：13

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