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  • 1
    Online Resource
    Online Resource
    New York, NY : Springer New York
    UID:
    b3kat_BV042418938
    Format: 1 Online-Ressource (VII, 347 p.) , 38 illus
    ISBN: 9780387216331 , 9781468493801
    Series Statement: Applied Mathematical Sciences 156
    Note: 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
    Language: English
    Keywords: Verzweigung ; Partielle Differentialgleichung
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    Author information: Kielhöfer, Hansjörg 1945-
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    UID:
    almahu_9947362891302882
    Format: VIII, 348 p. 38 illus. , online resource.
    ISBN: 9780387216331
    Series Statement: Applied Mathematical Sciences, 156
    Content: 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.
    Note: Local Theory -- Global Theory -- Applications.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9781468493801
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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