Existence of pseudo-almost automorphic solutions to some abstract differential equations with Sp-pseudo-almost automorphic coefficients

被引:51
作者
Diagana, Toka [1 ]
机构
[1] Howard Univ, Dept Math, Washington, DC 20005 USA
关键词
Pseudo-almost periodicity; Almost automorphic; Pseudo-almost automorphic; S-p-pseudo-almost automorphic; S-p-almost automorphic; S-p-pseudo-almost periodic; STEPANOV-LIKE; EVOLUTION-EQUATIONS;
D O I
10.1016/j.na.2008.07.034
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper introduces and studies the notion of S-p-pseudo-almost automorphy (or Stepanov-like pseudo-almost automorphy), which generalizes in a natural fashion the concept of pseudo-almost automorphy that was recently introduced in the literature by Liang, Xiao and Zhang. We next obtain the existence of pseudo-almost automorphic solutions to some differential equations with S-p-pseudo-almost automorphic coefficients. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3781 / 3790
页数:10
相关论文
共 15 条
[2]  
Diagana T., 2007, Commun Math Anal, V3, P9
[3]  
Diagana T, 2007, PSEUDO ALMOST PERIOD
[4]   Stepanov-like almost automorphic functions and applications to some semilinear equations [J].
Diagana, Toka ;
N'Guerekata, Gaston M. .
APPLICABLE ANALYSIS, 2007, 86 (06) :723-733
[5]   Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations [J].
Diagana, Toka .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) :4277-4285
[6]   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
[7]  
FATAJOU S, 2007, ELECT J DIFFERENTIAL, P1
[8]   Almost periodic type solutions of some differential equations with piecewise constant argument [J].
Hong, JL ;
Obaya, R ;
Sanz, A .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (06) :661-688
[9]   Stepanov-like almost automorphic solutions of nonautonomous semilinear evolution equations with delay [J].
Lee, Haewon ;
Alkahby, Hadi .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) :2158-2166
[10]   Composition of pseudo almost automorphic and asymptotically almost automorphic functions [J].
Liang, Jin ;
Zhang, Jun ;
Xiao, Ti-Jun .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (02) :1493-1499