Existence results for partial neutral functional differential equations with unbounded delay

摘要

This work is concerned with a class of quasi-linear partial neutral functional differential equations with unbounded delay. Specifically, we establish existence of mild and strong solutions for equations that can be described as an abstract functional differential equation d/dt(x(t) + F(t, x(t))) = Ax(t) + G(t, x(t)), where A is the infinitesimal generator of a strongly continuous semigroup of linear operators on a Banach space and F and G are appropriate functions defined on a phase space. (C) 1998 Academic Press. [References: 33]