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- catalog 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 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.".
- catalog contributor b13051623.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog 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.".
- catalog description "Includes bibliographical references (p. [335]-342) and index.".
- catalog description "Introduction -- Local Theory -- Global Theory -- Applications.".
- catalog extent "vii, 346 p. :".
- catalog identifier "0387404015 (alk. paper)".
- catalog isPartOf "Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 156.".
- catalog isPartOf "Applied mathematical sciences ; 156".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "510 s 515/.35 21".
- catalog subject "Bifurcation theory.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Differential equations, partial.".
- catalog subject "Mathematics.".
- catalog subject "Mechanics, applied.".
- catalog subject "QA1 .A647 vol. 156 QA380".
- catalog tableOfContents "Introduction -- Local Theory -- Global Theory -- Applications.".
- catalog title "Bifurcation theory : an introduction with applications to PDEs / Hansjörg Kielhöfer.".
- catalog type "text".