Hale J.K., Verduyn Lunel S.V. Introduction to Functional Differential Equations

New York: Springer, 1993. — 458 p.The present book builds upon an earlier work of J. Hale, "Theory of Func­ tional Differential Equations" published in 1977. We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a complete new presentation of lin­ ear systems (Chapters 6~9) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global at­ tractors was completely revamped as well as the invariant manifold theory (Chapter 10) near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented (see Chapters 1, 2, 3, 9, and 10). Chapter 12 is completely new and contains a guide to active topics of re­ search. In the sections on supplementary remarks, we have included many references to recent literature, but, of course, not nearly all, because the subject is so extensive.Linear differential difference equations
Functional differential equations: Basic theory
Properties of the solution map
Autonomous and periodic processes
Stability theory
General linear systems
Linear autonomous equations
Periodic systems
Equations of neutral type
Near equilibrium and periodic orbits
Periodic solutions of autonomous equations
Additional topics