Existence and uniqueness of pseudo almost. periodic solutions to some abstract partial neutral functional-differential equations and applications

被引：53

作者：

Diagana, Toka

Hernandez, Eduardo M.

机构：

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

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 327卷 / 02期

关键词：

partial functional-differential equations; pseudo almost periodic function;

D O I：

10.1016/j.jmaa.2006.04.043

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 pseudo almost periodic (mild) solutions to some classes of first-order partial neutral functional-differential equations. Upon making some suitable assumptions, existence and uniqueness results are obtained. Applications include both a partial integro-differential equation arising in control systems and the scalar reaction-diffusion equation with delay. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：776 / 791

页数：16

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