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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
Seller: Basi6 International, Irving, TX, U.S.A.
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
Seller: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
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Published by Springer (edition 1993), 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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Published by Springer New York Okt 1993, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Book Print on Demand
Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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( Ct. ,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 . . . . . . . . . . . . 464 pp. Englisch.
Published by Springer New York, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
Seller: moluna, Greven, Germany
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Published by Springer New York, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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-constantsformula. 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 . . . . . . . . . . . .
Published by Springer-Verlag New York Inc., 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
Seller: GreatBookPricesUK, Castle Donington, DERBY, United Kingdom
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Published by Springer, 1993
ISBN 10: 0387940766ISBN 13: 9780387940762
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