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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