Since the publication of my lecture notes, Functional Differential
Equations in the Applied Mathematical Sciences series, many new
developments have occurred. As a consequence, it was decided not to make
a few corrections and additions for a second edition of those notes, but
to present a more compre- hensive theory. The present work attempts to
consolidate those elements of the theory which have stabilized and also
to include recent directions of research. The following chapters were
not discussed in my original notes. Chapter 1 is an elementary
presentation of linear differential difference equations with constant
coefficients of retarded and neutral type. Chapter 4 develops the recent
theory of dissipative systems. Chapter 9 is a new chapter on perturbed
systems. Chapter 11 is a new presentation incorporating recent results
on the existence of periodic solutions of autonomous equations. Chapter
12 is devoted entirely to neutral equations. Chapter 13 gives an
introduction to the global and generic theory. There is also an appendix
on the location of the zeros of characteristic polynomials. The
remainder of the material has been completely revised and updated with
the most significant changes occurring in Chapter 3 on the properties of
solutions, Chapter 5 on stability, and Chapter lOon behavior near a
periodic orbit.