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

页数：27

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