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Bifurcation Theory: An Introduction With Applications to...

Bifurcation Theory: An Introduction With Applications to PDEs

Hansjörg Kielhöfer
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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.
Categorías:
Año:
2003
Edición:
1
Editorial:
Springer
Idioma:
english
Páginas:
355
ISBN 10:
0387404015
ISBN 13:
9780387404011
Serie:
Applied Mathematical Sciences
Archivo:
PDF, 2.06 MB
IPFS:
CID , CID Blake2b
english, 2003
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