State-space formulation for functional differential equations of neutral-type

We have extended earlier results concerning the well-posedness of FDEs on product spaces. In particular, we have presented sufficient conditions for the well-posedness of a large class of functional differential equations (NNFDE). This class contains the “standard” neutral and retarded functional differential equations and many weakly singular integro-differential equations. It appears that results in this paper can be applied to infinite delay problems by using proper weighting on the state-space.