书目名称 | Sturm-Liouville Theory | 副标题 | Past and Present | 编辑 | Werner O. Amrein,Andreas M. Hinz,David P. Pearson | 视频video | | 概述 | Covers a unique meeting (200th anniversary of the birth of Charles Sturm).Combines history with current research.Internationally renowned authors.Tribute to a great Swiss mathematician.Includes supple | 图书封面 |  | 描述 | .This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. It aims at giving an overview of the development of Sturm-Liouville theory from its historical roots to present day research. It is the first time that such a comprehensive survey is made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research. .The text is particularly strong on the spectral theory of Sturm-Liouville equations, which has given rise to a major branch of modern analysis. Among other current aspects of the theory discussed are oscillation theory for differential equations and Jacobi matrices, approximation of singular boundary value problems by regular ones, applications to systems of differential equations, extension of the theory to partial differential equations and to non-linear problems, and various generalizations of Borg‘s inverse theory. A unique feature of the book is | 出版日期 | Book 2005 | 关键词 | Applied Mathematics; Boundary value problem; Finite; Sturm-Liouville-Theorie; calculus; differential equa | 版次 | 1 | doi | https://doi.org/10.1007/3-7643-7359-8 | isbn_ebook | 978-3-7643-7359-7 | copyright | Birkhäuser Basel 2005 |
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