Nonlinear nonlocal Cauchy problems in Banach spaces

被引：62

作者：

Aizicovici, S ^{[1
]}

Lee, H ^{[1
]}

机构：

[1] Ohio Univ, Dept Math, Athens, OH 45701 USA

来源：

APPLIED MATHEMATICS LETTERS | 2005年 / 18卷 / 04期

关键词：

nonlocal Cauchy problem; m-accretive operator; compact semigroup;

D O I：

10.1016/j.aml.2004.01.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the existence of integral solutions for an abstract nonlinear Cauchy problem with nonlocal initial conditions. The approach relies on the use of the theory of nonlinear semigroups and Schauder's fixed-point theorem. (c) 2004 Elsevier Ltd. All rights reserved.

引用

页码：401 / 407

页数：7

共 11 条

[1]

Adams A, 2003, SOBOLEV SPACES

[2] Existence results for a class of abstract nonlocal Cauchy problems [J].