Regularity of solutions of partial neutral functional differential equations with unbounded delay
Author
Hernández, Eduardo
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/158810.4067/S0716-09172002000100005
Abstract
We prove the existence of regular solutions for a class of quasi-linear partial neutral functional differential equations with unbounded delay that can be described as the abstract retarded functional differential equation(x(t) + F (t,x?)) = Ax(t)+G(t,x?), where A is the infinitesimal generator of a strongly continuous semigroup of bounded linear operators on a Banach space X and F , G are appropriated functions.