State-of-the-art in qualitative theory of functional differential equations; Most of the new material has never appeared in book form and some not even in papers; Second edition updated with new topics and results; Methods discussed will apply to other equations and applications Series: Applied Mathematical Sciences. Num Pages: 290 pages, biography. BIC Classification: PBKJ; PBM. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 15. Weight in Grams: 413. . 2010. Softcover reprint of the original 2nd ed. 2002. Paperback. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verk�ufers V9781441930125

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Bibliografische Details

Titel: Dynamics in Infinite Dimensions
Verlag: Springer-Verlag New York Inc.
Erscheinungsjahr: 2010
Sprache: Englisch
ISBN-10: 1441930124
ISBN-13: 9781441930125
Einband: Softcover
Auflage: 2. Auflage
Zustand: New

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Inhaltsangabe

This book presents aspects of a geometric theory of infinite dimensional spaces with major emphasis on retarded functional differential equations. It contains results on Morse-Smale systems for semiflows, persistence of hyperbolicity under perturbations, nonuniform hyperbolicity, monotone dynamical systems, realization of vector fields on center manifolds and normal forms.

Cr�ticas

From the reviews of the second edition:

"This book presents a contemporary geometric theory of infinite-dimensional dynamical systems where the major emphasis is on retarded functional-differential equations. ... Each chapter contains some abstract theorems but the authors give some examples as well illustrating these general results and having interesting applications. ... This interesting book will be useful for researchers working in this field and, due to numerous examples, also for mathematicians working in applications." (Sergei A. Vakulenko, Mathematical Reviews, 2004 j)

"The first book, like the present one, is to a large extent devoted to functional differential equations. ... The present editions of chapters that appeared in the first book, Invariant sets and attractors, Functional differential equations on manifolds, The dimension of the attractor, Attractor sets as C1-manifolds, The Kupka-Smale theorem, Conley index in noncompact spaces, are up-dated and contain additional examples. As the first book of the authors, the present one will be of interest and will be useful to a broad group of readers." (Peter Pol�cik, Zentralblatt MATH, Vol. 1002 (2), 2003)

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