Pseudo almost automorphic solutions of some nonlinear integro-differential equations

被引：31

作者：

Abbas, Syed ^{[1
]}

机构：

[1] Indian Inst Technol Mandi, Sch Basic Sci, Mandi 175001, HP, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 05期

关键词：

Pseudo almost automorphic function; Almost periodic function; Fractional powers of operators; Mild solution; SEMILINEAR DIFFERENTIAL-EQUATIONS; BANACH-SPACES;

D O I：

10.1016/j.camwa.2011.07.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the existence and uniqueness of a pseudo almost automorphic solution of an integro-differential equation in a Banach space X. We achieve our results using the methods of fractional powers of operators and the Banach fixed point theorem. These results are new and complement the existing ones. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2259 / 2272

页数：14

共 18 条

[1] Pseudo almost automorphic solutions of fractional order neutral differential equation [J].

Abbas, Syed .

SEMIGROUP FORUM, 2010, 81 (03) :393-404

[2]

[Anonymous], ABSTRACT DIFFERENTIA

[3]

[Anonymous], APPL MATH SCI

[4]

[Anonymous], 2002, ELECTRON J DIFFER EQ

[5] CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC + ALMOST PERIODIC FUNCTIONS [J].

BOCHNER, S .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1964, 52 (04) :907-&

[6] Pseudo-almost-periodic solutions to some semilinear differential equations [J].

Diagana, T ;

Crépin, MM ;

N'Guérékata, GM .

MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (1-2) :89-96

[7]

Diagana T, 2009, DIFFER EQUAT APPL, V1, P561

[8] Almost automorphic solutions of nonautonomous evolution equations [J].

Ding, Hui-Sheng ;

Long, Wei ;

N'Guerekata, Gaston M. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) :4158-4164

[9] Pseudo almost automorphic solutions for some partial functional differential equations with infinite delay [J].

Ezzinbi, Khalil ;

Fatajou, Samir ;

N'guerekata, Gaston Mandata .

APPLICABLE ANALYSIS, 2008, 87 (05) :591-605

[10] Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces [J].

Ezzinbi, Khalil ;

Fatajou, Samir ;

N'gurkata, Gaston Mandata .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (04) :1641-1647

← 1 2 →