On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces

被引：37

作者：

Bugajewski, D

N'Guérékata, GM

机构：

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

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 59卷 / 08期

关键词：

D O I：

10.1016/j.na.2003.08.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to deal with almost automorphic and asymptotically almost automorphic solutions of the initial value problem as well as the nonlinear Volterra integral equation in Banach spaces. We obtain a collection of existence results of such solutions to these equations. We investigate also a topological structure of such solution sets. Moreover, we prove Aronszajn-type theorems for solutions of the initial value problem as well as the nonlinear Volterra integral equation, defined on the whole real line. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1333 / 1345

页数：13