Bifurcation theory :an introduction with applications to PDEs
- 作者: Kielhöfer, Hansjörg,
- 出版: New York : Springer ©2004.
- 稽核項: 1 online resource (1 volume).
- 叢書名: Applied mathematical sciences ;156
- 標題: MATHEMATICS , Differential EquationsGeneral. , Bifurcation theory. , MATHEMATICS Differential Equations -- General. , Electronic books.
- ISBN: 0387404015 , 9780387404011
- ISBN: 0387404015 , 1280189231 , 9781280189234
- 試查全文@TNUA:
- 附註: Includes bibliographical references and index. Introduction -- Local Theory -- Global Theory -- Applications.
- 摘要: 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.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=107965
- 系統號: 005308885
- 資料類型: 電子書
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- 引用網址: 複製連結
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.
來源: Google Book
來源: Google Book
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