Dynamics in Infinite Dimensions: 47 (Applied Mathematical Sciences) - Softcover

Hale, Jack K. K.; Magalhaes, Luis T.; Oliva, Waldyr

Softcover

ISBN 10: 1441930124 ISBN 13: 9781441930125

Verlag: Springer, 2010

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.

Über diesen Titel

Críticas

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 Polácik, Zentralblatt MATH, Vol. 1002 (2), 2003)

Reseña del editor

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

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 1441930124
• ISBN 13: 9781441930125
• Einband: Tapa blanda
• Anzahl der Seiten: 292
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland