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Table of contents (12 chapters)
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Front Matter
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Back Matter
Reviews
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)
Authors and Affiliations
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School of Mathematics, Georgia Tech, Atlanta, USA
Jack K. Hale
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Departamento de Matemática, Instituto Superior Técnico, Lisbon, Portugal
Luis T. Magalhães, Waldyr M. Oliva
Bibliographic Information
Book Title: Dynamics in Infinite Dimensions
Authors: Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/b100032
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2002
Hardcover ISBN: 978-0-387-95463-9Published: 12 July 2002
Softcover ISBN: 978-1-4419-3012-5Published: 03 December 2010
eBook ISBN: 978-0-387-22896-9Published: 18 April 2006
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 2
Number of Pages: VIII, 282
Additional Information: Originally published with the title: An Introduction to Infinite Dimensional Dynamical Systems - Geometric Theory
Topics: Analysis, Differential Geometry