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Science/Engineering Bifurcation Theory: An Introduction with Applications to Pdes

Posted on 2010-03-15




Name:Science/Engineering Bifurcation Theory: An Introduction with Applications to Pdes
ASIN/ISBN:0387404015
Language:English
File size:1.9 Mb
Publish Date: October 1, 2003
ISBN: 0387404015
Pages: 364 pages
File Type: PDF
File Size: 1,9 MB
Other Info: Springer
   Science/Engineering Bifurcation Theory: An Introduction with Applications to Pdes

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Hansjorg Kielhofer, "Bifurcation Theory"

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.

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