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."
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