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Bifurcation Theory: An Introduction with Applications to Partial Differential Equations

Bifurcation Theory: An Introduction with Applications to Partial Differential Equations

Hardcover

Series: Applied Mathematical Sciences, Book 156

General Mathematics

ISBN10: 1461405017
ISBN13: 9781461405016
Publisher: Springer Nature
Published: Nov 12 2011
Pages: 400
Weight: 1.64
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English

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.

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