Almost automorphic mild solutions to some partial neutral functional-differential equations and applications

被引：40

作者：

Diagana, Toka ^{[1
]}

Henriquez, Hernan R. ^{[2
]}

Hernandez, Eduardo M. ^{[2
,3
]}

机构：

[1] Howard Univ, Dept Math, Washington, DC 20059 USA

[2] Univ Santiago, Dept Matemat, Santiago, Chile

[3] Univ Sao Paulo, Dept Matemat, ICMC, BR-13560970 Sao Carlos, SP, Brazil

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 5-6期

关键词：

partial functional-differential equations; almost automorphic function; compactly almost automorphic;

D O I：

10.1016/j.na.2007.06.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper considers the existence and uniqueness of almost automorphic mild solutions to some classes of first-order partial neutral functional-differential equations. Sufficient conditions for the existence and uniqueness of almost automorphic mild solutions to the above-mentioned equations are obtained. As an application, a first-order boundary value problem arising in control systems is considered. (C) 2007 Elsevier Ltd. All fights reserved.

引用

页码：1485 / 1493

页数：9