Resumen de Existence of solutions for some nonautonomous partial functional differential equations with state-dependent delay
Moussa El Khalil Kpoumiè, Abdel Hamid Gamal Nsangou, Salifou Mboutngam, Patrice Ndambomve, Issa Zabsonre
The aim of this work is to prove the existence of mild solutions for some nondensely nonautonomous partial functional differential equations with state-dependent delay in Banach spaces. We assume that the linear part is not necessarily densely defined 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 diffusion equation with state-dependent delay to illustrate the obtained result.
