Measure theory and pseudo almost automorphic functions: New developments and applications

被引：83

作者：

Blot, Joel ^{[2
]}

Cieutat, Philippe ^{[3
]}

Ezzinbi, Khalil ^{[1
]}

机构：

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

[2] Univ Paris 1 Pantheon Sorbonne, Lab SAMM EA 4543, F-75013 Paris, France

[3] Univ Versailles St Quentin En Yvelines, Lab Math Versailles, UMR CNRS 8100, F-78035 Versailles, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期

关键词：

Measure theory; Ergodicity; mu-pseudo almost automorphic function; Completeness and composition theorem; Evolution equations; Reaction-diffusion system; Partial functional differential equations; ALMOST-PERIODIC-SOLUTIONS; WEIGHTED PSEUDO; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.na.2011.10.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we establish a new concept of weighted pseudo almost automorphic functions using the measure theory. We present new results on weighted ergodic functions like completeness and composition theorems. The theory of this work generalizes the classical results on weighted pseudo almost periodic and automorphic functions. For illustration, we provide some applications for evolution equations which include reaction-diffusion systems and partial functional differential equations. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2426 / 2447

页数：22

共 34 条

[1]

Adimy M., 1999, Differ. Equ. Dyn. Syst, V7, P371

[2]

Adimy M., 2001, CANADIAN APPL MATH Q, V9, P1

[3]

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

[4]

[Anonymous], 1986, REAL COMPLEX ANAL

[5] Weighted pseudo almost automorphic functions and applications to abstract differential equations [J].

Blot, J. ;

Mophou, G. M. ;

N'Guerekata, G. M. ;

Pennequin, D. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) :903-909

[6]

Blot J., 2008, COMMUN MATH ANAL, V6, P42

[7] 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-&

[8] Weighted pseudo-almost automorphic solutions for some partial functional differential equations [J].

Boukli-Hacene, Nadira ;

Ezzinbi, Khalil .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) :562-570

[9] Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to semi-linear differential equations in Hilbert spaces [J].

Chang, Yong-Kui ;

Zhao, Zhi-Han ;

Nieto, Juan J. .

REVISTA MATEMATICA COMPLUTENSE, 2011, 24 (02) :421-438

[10] Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations [J].

Cieutat, Philippe ;

Fatajou, Samir ;

N'Guerekata, Gaston M. .

APPLICABLE ANALYSIS, 2010, 89 (01) :11-27

← 1 2 3 4 →