On Nonautonomous Functional Differential Equations

In this paper, we prove a theorem on boundary perturbation of nonautonomous Cauchy problerris arid then apply this result to show the existence and uniqueness of classical solutions of the nonautonomous, Banach space valued functional differential equation x ʹ ( t ) = A ( t ) x ( t ) + K ( t ) x , , 0 5 t 5 T , x(T) = (P(7 - s), s - r 5 ? - 5 s