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.

引用

页码：1 / 24

页数：24

共 67 条

[1] A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative [J].

Agarwal, Ravi P. ;

Belmekki, Mohammed ;

Benchohra, Mouffak .

ADVANCES IN DIFFERENCE EQUATIONS, 2009, :1-47

[2] Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations [J].

Agarwal, Ravi P. ;

de Andrade, Bruno ;

Cuevas, Claudio .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) :3532-3554

[3] On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential Equations [J].

Agarwal, Ravi P. ;

de Andrade, Bruno ;

Cuevas, Claudio .

ADVANCES IN DIFFERENCE EQUATIONS, 2010,

[4]

Agarwal RP, 2009, GEORGIAN MATH J, V16, P401

[5] A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions [J].

Agarwal, Ravi P. ;

Benchohra, Mouffak ;

Hamani, Samira .

ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) :973-1033

[6]

Agarwal RP, 2007, J NONLINEAR CONVEX A, V8, P397

[7]

Anh V., 2003, J. Appl. Math. and Stoch. Anal., V16, P97, DOI DOI 10.1155/S1048953303000078

[8]

[Anonymous], 1987, NONLINEAR OPERATORS

[9]

[Anonymous], 1975, FRACTIONAL CALCULUS

[10]

[Anonymous], 1995, Analytic semigroups and optimal regularity in parabolic problems

← 1 2 3 4 5 6 7 →