Mild solution in the α-norm for some partial integrodifferential equations involving a nonlocal condition

In this work, we investigate the existence of mild solutions in the -norm for a class of nonlocal integrodifferential equations. We employ the theory of resolvent operators introduced by R. Grimmer. The Leray-Schauder alternative is the principal working tool for our analysis.

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Bibliographic Details
Published inNonautonomous Dynamical Systems Vol. 10; no. 1; pp. 93 - 100
Main Authors El Matloub, Jaouad, Ezzinbi, Khalil
Format Journal Article
LanguageEnglish
Published De Gruyter 27.08.2023
Subjects
45K05
47D06
47H10
integrodifferential equation
mild solution
nonlocal condition
norm
resolvent operator
α-norm
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Summary:In this work, we investigate the existence of mild solutions in the -norm for a class of nonlocal integrodifferential equations. We employ the theory of resolvent operators introduced by R. Grimmer. The Leray-Schauder alternative is the principal working tool for our analysis.
ISSN:2353-0626
2353-0626
DOI:10.1515/msds-2023-0170