Almost automorphic solutions to second-order semilinear evolution equations

被引：8

作者：

N'Guerekata, Gaston M. ^{[1
]}

机构：

[1] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Almost automorphic function; Uniform spectrum; Semilinear evolution equations;

D O I：

10.1016/j.na.2008.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give some sufficient conditions for ensuring the existence and uniqueness of a mild almost automorphic solution to a second-order semilinear evolution equation in a Banach space. We also present some properties of the (new) notion of a uniform spectrum of bounded functions. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：E432 / E435

页数：4

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