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Bifurcation Theory
Hansjörg Kielhöfer
其他書名
An Introduction with Applications to PDEs
出版
Springer Science & Business Media
, 2006-04-10
主題
Mathematics / Differential Equations / General
Mathematics / Mathematical Analysis
Mathematics / Applied
Technology & Engineering / Mechanical
Mathematics / Linear & Nonlinear Programming
Science / Mechanics / Solids
ISBN
0387216332
9780387216331
URL
http://books.google.com.hk/books?id=5CfrBwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.