Cn-almost automorphic solutions for partial neutral functional differential equations

被引：13

作者：

Ezzinbi, Khalil

Fatajou, Samir

N'Guerekata, Gaston Mandata

机构：

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

[2] Univ Cadi Ayyad, Dept Math, Fac Sci Semlalia, Marrakech, Morocco

来源：

APPLICABLE ANALYSIS | 2007年 / 86卷 / 09期

关键词：

partial neutral functional differential equations; integral solution; strict solution; reduction principle; C-n-almost periodic solution; C-n-almost automorphic solution; exponential dichotomy;

D O I：

10.1080/00036810701584591

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the existence of C-n-almost periodic solutions and C-n-almost automorphic solutions (n >= 1), for partial neutral functional differential equations. We prove that the existence of a bounded integral solution on R+ implies the existence of C-n-almost periodic and C-n-almost automorphic strict solutions. When the exponential dichotomy holds for the homogeneous linear equation, we show the uniqueness of C-n-almost periodic and C-n-almost automorphic strict solutions.

引用

页码：1127 / 1146

页数：20

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