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Local existence and regularity of solutions in alpha-norm for some partial functional integrodifferential equations in Banach spaces

  • Advances in Mathematics Research : 73-103
Discipline : Mathématiques
Auteur(s) :
Auteur(s) tagués : ZABSONRE Issa
Renseignée par : ZABSONRE Issa

Résumé

By using the resolvent operator theory in the sense given by Grimmer in [1], we prove the existence and regularity of solutions in α-norm for some partial functional integrodifferential equations in Banach spaces. We firstly show the existence of the mild solutions and give some conditions for the existence of strict solutions.

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