Abstract

In this article we establish a result of existence of periodic solutions for the class of quasi-linear partial neutral functional differential equations with unbounded delay that can be described as the abstract functional differential equation (d/dt)(x(t)+F(t,x t))=Ax(t)+G(t,x t), whereAis the infinitesimal generator of a strongly continuous semigroup of linear operators on a Banach space andFandGare appropriate functions defined on a phase space. © 1998 Academic Press.