Détails Publication
Existence of solutions for some nonautonomous partial functional differential equations with state-dependent delay,
Auteur(s): Moussa El-KhalilL Kpoumie, Abdel Hamid Gamal Nsangou, Patrice Ndambomve, Issa Zabsonre and Salifou Mboutngam
Auteur(s) tagués:
ZABSONRE Issa
Renseignée par : ZABSONRE Issa
Résumé
The aim of this work is to prove the existence of mild solutions for some nondensely nonautonomous partial functional diferential equations with state-dependent delay in Banach spaces. We assume that the linear part is not necessarily densely deined and generates an evolution family. Our approach is based on a nonlinear alternative of Leray-Schauder type and nonautonomous evolution family with nondensely domain. We propose a reaction difusion equation with state-dependent delay to illustrate the obtained result.
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