Resumen de Regularity of solutions of partial neutral functional differential equations with unbounded delay

Eduardo Hernández

• 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,xₜ)) = Ax(t)+G(t,xₜ), 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.