Existence of mild solutions for semilinear evolution equations with non-local initial conditions

被引：22

作者：

Liu, Qing ^{[1
]}

Yuan, Rong ^{[2
]}

机构：

[1] S China Univ Technol, Dept Math, Sch Sci, Guangzhou 510640, Guangdong, Peoples R China

[2] Beijing Normal Univ, Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Nonlocal initial condition; Mild solutions; Semilinear evolution equation; Compact semigroup; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; CAUCHY-PROBLEMS; UNIQUENESS;

D O I：

10.1016/j.na.2009.02.093

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of mild solutions for a class of semilinear evolution equations with non-local initial conditions and extend some related results in this direction. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：4177 / 4184

页数：8

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