Asymptotically almost periodic solutions for some partial differential inclusions in α-norm

被引：0
|
作者：
Alia, Mohamed [1 ]
El Matloub, Jaouad [1 ]
Ezzinbi, Khalil [1 ,2 ]
机构：
[1] Cadi Ayyad Univ, Fac Sci Semlalia, Dept Math, BP 2390, Marrakech, Morocco
[2] Sorbonne Univ, ED130, IRD, UMMISCO,EDITE, F-93143 Paris, France
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2024年 / 24卷 / 04期
关键词：
Differential inclusion; Mild solution; Asymptotically almost periodic solution; Analytic semigroup; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE;
D O I：
10.1007/s00028-024-01007-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we focus on investigating the existence of mild solutions and asymptotically almost periodic mild solutions for a class of partial differential inclusions. These inclusions involve a forcing multivalued function that relies on implicit spatial derivatives of the state variable. We introduce a novel approach to simplify the complexities associated with singularities when taking the alpha-norm.
引用
收藏
页数：27
相关论文
共 50 条
  • [21] ASYMPTOTICALLY ALMOST PERIODIC SOLUTIONS TO SOME CLASSES OF SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS
    Diagana, Toka
    Henriquez, Hernan
    Hernandez, Eduardo
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2008, 21 (5-6) : 575 - 600
  • [22] μ-Pseudo compact almost automorphic weak solutions for some partial functional differential inclusions
    Ezzinbi, Khalil
    Hilal, Khalid
    Ziat, Mohamed
    APPLICABLE ANALYSIS, 2022, 101 (18) : 6388 - 6410
  • [23] ALMOST PERIODIC AND ASYMPTOTICALLY ALMOST PERIODIC SOLUTIONS OF LIENARD EQUATIONS
    Caraballo, Tomas
    Cheban, David
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 16 (03): : 703 - 717
  • [24] ASYMPTOTIC ALMOST AUTOMORPHIC AND S-ASYMPTOTICALLY omega-PERIODIC SOLUTIONS TO PARTIAL DIFFERENTIAL EQUATION
    Carvalho dos Santos, Jose Paulo
    Rabelo, Marcos Napoleao
    Henrique, Marcos Luiz
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2012, 9 (01): : 45 - 61
  • [25] ASYMPTOTICALLY ALMOST-PERIODIC SOLUTIONS OF ABSTRACT DIFFERENTIAL-EQUATIONS
    HENRIQUEZ, HR
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 160 (01) : 157 - 175
  • [26] Asymptotically Almost Periodic Solutions for a Class of Stochastic Functional Differential Equations
    Liu, Aimin
    Liu, Yongjian
    Liu, Qun
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [27] Almost periodic solutions of partial differential equations with delay
    Henriquez, Hernan R.
    Cuevas, Claudio
    Caicedo, Alejandro
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [28] Almost periodic solutions of partial differential equations with delay
    Hernán R Henríquez
    Claudio Cuevas
    Alejandro Caicedo
    Advances in Difference Equations, 2015
  • [29] Periodic solutions in the α-norm for some neutral partial functional differential equations with finite delay
    Ezzinbi K.
    Kyelem B.A.
    Ouaro S.
    Afrika Matematika, 2013, 24 (4) : 625 - 645
  • [30] WEIGHTED PSEUDO ALMOST PERIODIC SOLUTIONS TO SOME PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
    Agarwal, Ravi P.
    Diagana, Toka
    Hernandez M., Eduardo
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2007, 8 (03) : 397 - 415
12345