ARTICLE
Local existence and regularity of solutions for some partial functional integrodifferential equations with infinite delay in Banach Spaces
- Nonlinear Analysis, Theory, Methods and Applications : 3378-3389
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 with infinite delay in Banach spaces. We suppose that the undelayed part admits a resolvent operator in the sense of Grimmer [R. Grimmer, Resolvent operators for integral equations in a Banach space, Transactions of the American Mathematical Society 273 (1982) 333349]. 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 strict solutions.
Mots-clés
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