Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces

被引：33

作者：

Caicedo, A. ^{[2
]}

Cuevas, C. ^{[2
]}

Mophou, G. M. ^{[3
]}

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

机构：

[1] Morgan State Univ, Dept Math, 1700 E Cold Spring Lane, Baltimore, MD 21251 USA

[2] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil

[3] Univ Antilles Guyane, Dept Math & Informat, F-97159 Pointe A Pitre, Guadeloupe, France

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 01期

关键词：

ALMOST-PERIODIC-SOLUTIONS; AUTOMORPHIC MILD SOLUTIONS; HEAT-CONDUCTION; EXISTENCE; PSEUDO; CONTROLLABILITY; UNIQUENESS;

D O I：

10.1016/j.jfranklin.2011.02.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We prove in this paper the existence and uniqueness of mild solutions to some functional differential and functional integro-differential equations with infinite delay in Banach spaces which approach almost automorphic functions at infinity. We also discuss the existence of S-asymptotically omega-periodic mild solutions. The results are new. (C) 2011 Published by Elsevier Ltd. on behalf of The Franklin Institute.

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页码：1 / 24

页数：24

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