Introduction To Functional Differential Equations
The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in 1977. The authors have attempted to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a completely new presentation of linear systems (Chapter 6-9) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global attractors was thoroughly revamped as well as...
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The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in 1977. The authors have attempted to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a completely new presentation of linear systems (Chapter 6-9) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global attractors was thoroughly 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 (Chapters 1,2,3,9,10). Chapter 12 is also entirely new and contains a guide to active topics of research. In the sections on supplementary remarks, the authors have included many references to recent literature, but, of course, not nearly all, because the subject is so extensive. Booknews Builds on an earlier work by J. Hale, Theory of Functional Differential Equations, 1977. Approximately one-third of the material is left intact. A completely new presentation of linear systems for retarded and neutral functional differential equations is given. The theory of dissipative systems and global attractors is completely redone as well as the invariant manifold theory near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented, and a new guide to active topics of research is added. Annotation c. Book News, Inc., Portland, OR (booknews.com)
PrefaceIntroduction11Linear differential difference equations112Functional differential equations: Basic theory383Properties of the solution map674Autonomous and periodic processes1005Stability theory1306General linear systems1677Linear autonomous equations1938Periodic systems2369Equations of neutral type25510Near equilibrium and periodic orbits30211Periodic solutions of autonomous equations33112Additional topics364Appendix: Stability of characteristic equations414Bibliography419Index444
\ BooknewsBuilds on an earlier work by J. Hale, Theory of Functional Differential Equations, 1977. Approximately one-third of the material is left intact. A completely new presentation of linear systems for retarded and neutral functional differential equations is given. The theory of dissipative systems and global attractors is completely redone as well as the invariant manifold theory near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented, and a new guide to active topics of research is added. Annotation c. Book News, Inc., Portland, OR (booknews.com)\ \
