Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations

被引：34

作者：

Cieutat, Philippe ^{[2
]}

Fatajou, Samir ^{[3
]}

N'Guerekata, Gaston M. ^{[1
]}

机构：

[1] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA

[2] Univ Versailles St Quentin en Yvelines, Lab Math Versailles, F-78035 Versailles, France

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

来源：

APPLICABLE ANALYSIS | 2010年 / 89卷 / 01期

关键词：

Pseudo almost periodic function; pseudo almost automorphic function; evolution equation; heat equation; SEMILINEAR DIFFERENTIAL-EQUATIONS; BANACH-SPACES;

D O I：

10.1080/00036810903397503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish new theorems for the composition of pseudo almost periodic and pseudo almost automorphic functions in Banach spaces. Our results extend the recent ones [H. Li, F. Huang and J. Li, Composition of pseudo almost-periodic functions and semilinear differential equations, J. Math. Anal. Appl. 255 (2001), pp. 436-446; J. Liang, J. Zhang, T.J. Xiao, Composition of pseudo almost automorphic and asymptotically almost automorphic functions, J. Math. Anal. Appl. 340 (2001), pp. 1493-1499]. We also study some sufficient conditions for the continuity of the superposition operator. As an application to the abstract results, we give some existence theorems of pseudo almost periodic/automorphic solutions for some semilinear evolution equations and examples with the heat equation.

引用

下载

页码：11 / 27

页数：17

共 50 条

[21] Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations
Ezzinbi, Khalil
Toure, Hamidou
Zabsonre, Issa
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2021, 29 (02) : 313 - 338
[22] Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations
Khalil Ezzinbi
Hamidou Toure
Issa Zabsonre
Differential Equations and Dynamical Systems, 2021, 29 : 313 - 338
[23] Composition of piecewise pseudo almost periodic functions and applications to abstract impulsive differential equations
Liu, Junwei
Zhang, Chuanyi
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[24] New composition theorems of Stepanov-like weighted pseudo almost automorphic functions and applications to nonautonomous evolution equations
Zhang, Rui
Chang, Yong-Kui
N'Guerekata, G. M.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (06) : 2866 - 2879
[25] Weighted pseudo almost periodic functions and applications
Diagana, Toka
COMPTES RENDUS MATHEMATIQUE, 2006, 343 (10) : 643 - 646
[26] Weighted pseudo δ-almost automorphic functions and abstract dynamic equations
Wang, Chao
Agarwal, Ravi P.
O'Regan, Donal
GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (02) : 313 - 330
[27] Composition of pseudo almost-periodic functions and semilinear differential equations
Li, HX
Haung, FL
Li, JY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 255 (02) : 436 - 446
[28] Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
Chao Wang
Ravi P. Agarwal
Donal O’Regan
Rathinasamy Sakthivel
Boundary Value Problems, 2019
[29] Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
Wang, Chao
Agarwal, Ravi P.
O'Regan, Donal
Sakthivel, Rathinasamy
BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)
[30] Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
Wang, Chao
Li, Yongkun
ANNALES POLONICI MATHEMATICI, 2013, 108 (03) : 225 - 240

← 1 2 3 4 5 →