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Author Hale, Jack K
Title Introduction to functional differential equations / Jack K. Hale, Sjoerd M. Verduyn Lunel
Imprint New York : Springer-Verlag, [1993]
©1993
book jacket
Descript 1 online resource (x, 447 pages) : illustrations
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Applied mathematical sciences ; volume 99
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 99
Note "The present book builds upon an earlier work of J. Hale, 'Theory of functional differential equations' published in 1977"--Pref
Includes bibliographical references (pages [419]-443) and index
1. Linear differential difference equations -- 2. Functional differential equations: Basic theory -- 3. Properties of the solution map -- 4. Autonomous and periodic processes -- 5. Stability theory -- 6. General linear systems -- 7. Linear autonomous equations -- 8. Periodic systems -- 9. Equations of neutral type -- 10. Near equilibrium and periodic orbits -- 11. Periodic solutions of autonomous equations -- 12. Additional topics -- Appendix: Stability of characteristic 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 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
Description based on print version record
Link Print version: Hale, Jack K. Introduction to functional differential equations 0387940766 (DLC) 93027729 (OCoLC)28377141
Subject Functional differential equations
attracteur global
système dissipatif
équation différentielle fonctionnelle
Functionaaldifferentiaalvergelijkingen. gtt
Equations différentielles fonctionnelles. ram
Functional differential equations. fast (OCoLC)fst00936063
Electronic books
Alt Author Verduyn Lunel, S. M. (Sjoerd M.)
Hale, Jack K. Theory of functional differential equations
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