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Bifurcation theory an introduction with applications PDF

352 Pages·2003·5.228 MB·English
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by Hansjörg Kielhöfer| 2003| 352 pages| 5.228| English

About Bifurcation theory an introduction with applications

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.

Detailed Information

Author:Hansjörg Kielhöfer
Publication Year:2003
ISBN:387404015
Pages:352
Language:English
File Size:5.228
Format:PDF
Price:FREE
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