Bifurcation theory
Subtitle: an introduction with applications to PDEs
By: Hansjörg Kielhöfer.
Series: Applied mathematical sciences -- v. 156.; Applied mathematical sciences (Springer-Verlag New York Inc.) -- v. 156.
Publisher: Springer
Published: 2004
Place of publication: New York
Language: eng
Number of pages: 346
Subjects: Bifurcation theory
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.
Notes: Includes bibliographical references (p. [335]-342) and index.