μ-PSEUDO ALMOST PERIODIC AND AUTOMORPHIC SOLUTIONS IN THE α-NORM FOR SOME PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：11

作者：

Ezzinbi, Khalil ^{[1
]}

Miraoui, Mohsen ^{[2
]}

机构：

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

[2] Univ Kairouan, Dept Math, Fac Sci & Tech Sidi Bouzid, Sidi Bouzid, Tunisia

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 08期

关键词：

alpha-norm; Ergodicity; Partial functional differential equations; Pseudo-almost automorphic function; Pseudo-almost periodic function; WEIGHTED PSEUDO; EVOLUTION-EQUATIONS; EXISTENCE;

D O I：

10.1080/01630563.2015.1042273

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we prove the existence and uniqueness of mu-pseudo almost periodic and mu-pseudo almost automorphic solutions in the alpha-norm for some classes of partial differential equations in Banach spaces. For illustration, we study some models arising in physical systems.

引用

页码：991 / 1012

页数：22

共 50 条

[1] Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations
Ezzinbi, Khalil
Toure, Hamidou
Zabsonre, Issa
[J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2021, 29 (02) : 313 - 338
[2] Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations
Khalil Ezzinbi
Hamidou Toure
Issa Zabsonre
[J]. Differential Equations and Dynamical Systems, 2021, 29 : 313 - 338
[3] Weighted pseudo-almost automorphic solutions for some partial functional differential equations
Boukli-Hacene, Nadira
Ezzinbi, Khalil
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 562 - 570
[4] Pseudo almost automorphic solutions for some partial functional differential equations with infinite delay
Ezzinbi, Khalil
Fatajou, Samir
N'guerekata, Gaston Mandata
[J]. APPLICABLE ANALYSIS, 2008, 87 (05) : 591 - 605
[5] Pseudo almost automorphic solutions of class r for some partial functional differential equations
Ezzinbi K.
Toure H.
Zabsonre I.
[J]. Afrika Matematika, 2014, 25 (1) : 25 - 41
[6] Almost automorphic solutions for some partial functional differential equations
Ezzinbi, Khalil
N'Guerekata, Gaston Mandata
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 344 - 358
[7] Almost periodic and almost automorphic solutions for some nondensely nonautonomous linear periodic partial functional differential equations
Abdallah Afoukal
Khalil Ezzinbi
Khalid Hilal
[J]. SeMA Journal, 2024, 81 (3) : 379 - 412
[8] Weighted pseudo almost periodic solutions for some partial functional differential equations
Boukli-Hacene, Nadira
Ezzinbi, Khalil
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 3612 - 3621
[9] WEIGHTED PSEUDO ALMOST PERIODIC SOLUTIONS TO SOME PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Agarwal, Ravi P.
Diagana, Toka
Hernandez M., Eduardo
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2007, 8 (03) : 397 - 415
[10] Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces
Ezzinbi, Khalil
Fatajou, Samir
N'gurkata, Gaston Mandata
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (04) : 1641 - 1647

← 1 2 3 4 5 →