ENGLISH

Bifurcation Theory: An Introduction With Applications to PDEs

By Hansjörg Kielhöfer

Book information

Publisher
Springer
Year
2003
ISBN
9780387216331, 9780387404011, 0387404015
LCC
QA1.A647 2004
Open Library ID
OL18206302M
Language
english
Format
PDF
Filesize
2 MB (2156908 bytes)
Series
Applied Mathematical Sciences
Edition
1
Pages
355\355
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

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 the 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. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations.

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