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Bifurcation theory : an introduction with applications to PDEs

Author: Hansjörg Kielhöfer
Publisher: New York : Springer, [2004] ©2004
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 156.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of main theorems in bifurcation theory, as well as more recent and lesser-known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to  Read more...
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Document Type: Book
All Authors / Contributors: Hansjörg Kielhöfer
ISBN: 0387404015 9780387404011
OCLC Number: 904554925
Description: vii, 346 pages : illustrations ; 25 cm.
Contents: I. Local Theory --
II. Global Theory --
III. Applications.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 156.
Responsibility: Hansjorg Kielhofer.

Abstract:

"In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of main theorems in bifurcation theory, as well as more recent and lesser-known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations (PDEs). In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth."--BOOK JACKET.

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