Existence of Periodic Solutions of Partial Neutral Functional Differential Equations with Unbounded Delay

AbstractIn 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,xt))=Ax(t)+G(t,xt), whereAis the infinitesimal generator of a strongly continuous semigroup of linear operators on a Banach space andFandGare appropriate functions defined on a phase space