Introduction to Functional Differential Equations
Format: Hardcover
ISBN13: 9780387940762
Hardcover|9780387940762
✨ Featured Offer
Brand New
$122.84
List Price: $119.99
🚚
See all 5 offers from $70.64 FREE standard delivery by: 02 Apr 2026
Overview
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. Jack K. Hale Sjoerd M. Verduyn Lunel Contents Preface............................................................ v Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . 1. Linear differential difference equations . . . . . . . . . . . . . . 11 . . . . . . 1.1 Differential and difference equations. . . . . . . . . . . . . . . . . . . . 11 . . . . . . . . 1.2 Retarded differential difference equations. . . . . . . . . . . . . . . . 13 . . . . . . . 1.3 Exponential estimates of x( ¢,f) . . . . . . . . . . . . . . . . . . . . . 15 . . . . . . . . . . 1.4 The characteristic equation . . . . . . . . . . . . . . . . . . . . . . . . 17 . . . . . . . . . . . . 1.5 The fundamental solution. . . . . . . . . . . . . . . . . . . . . . . . . . 18 . . . . . . . . . . . . 1.6 The variation-of-constants formula............................. 23 1. 7 Neutral differential difference equations . . . . . . . . . . . . . . . . . 25 . . . . . . . 1.8 Supplementary remarks. . . . . . . . . . . . . . . . . . . . . . . . . . . 34 . . . . . . . . . . . . . 2. Functional differential equations: Basic theory . . . . . . . . 38 . . 2.1 Definition of a retarded equation. . . . . . . . . . . . . . . . . . . . . . 38 . . . . . . . . . 2.2 Existence, uniqueness, and continuous dependence . . . . . . . . . . 39 . . . 2.3 Continuation of solutions . . . . . . . . . . . . . . . . . . . . . . . . . . 44 . . . . . . . . . . . .
| ISBN-13 | 9780387940762 |
|---|---|
| ISBN-10 | 0387940766 |
| Weight | 4.01 Pounds |
| Dimensions | 6.50 x 1.25 x 9.50 In |
| List Price | $119.99 |
| Edition | 1st Edition |
| Format | Hardcover |
|---|---|
| Language | English |
| Pages | x, 450 pages |
| Publisher | Springer |
| Published On | 1993-10-14 |
View All Offers
Sort by:
Price
Condition
Seller
Seller Comments
Price
Used, Good
Seller details
Cottoncandybooks
Chandler, AZ, USA
Good: A book that has been read but is in good condition. Very minimal damage to the cover includi...
Free delivery by: 02 Apr 2026
Used, Very Good
Seller details
Chris Korczak, Bookseller
Easthampton, MA, USA
Very mild shelfwear. We try to note every flaw we can find, and we are quite picky, so buy with conf...
Free delivery by: 02 Apr 2026
Used, Good
Seller details
HPB-Red
Dallas, TX, USA
Connecting readers with great books since 1972! Used textbooks may not include companion materials s...
Free delivery by: 02 Apr 2026
✨ Brand New
Seller details
Alibris
Sparks, NV, USA
Print on demand Sewn binding. Cloth over boards. 450 p. Contains: Unspecified. Applied Mathematical...
Free delivery by: 02 Apr 2026
Used, Good
Seller details
Bonita
Santa Clarita, CA, USA
Access codes and supplements are not guaranteed with used items. May be an ex-library book.
Free delivery by: 02 Apr 2026