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.
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页数：27
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