ARTICLE
Existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces
- Nonlinear Analysis, Theory, Methods and Applications : 2761-2771
Discipline :
Mathématiques
Auteur(s) :
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
Auteur(s) tagués :
ZABSONRE Issa
Renseignée par : ZABSONRE Issa
Résumé
In this work, we study the existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces. We suppose that the undelayed part admits a resolvent operator in the sense given by Grimmer in [R. Grimmer, Resolvent operators for integral equations in a Banach space, Transaction of American Mathematical Society 273 (1982) 333–349]. The delayed part is assumed to be locally Lipschitz. Firstly, we show the existence of the mild solutions. Secondly, we give sufficient conditions ensuring the existence of the strict solutions.
Mots-clés
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