Overview
- 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 supplementary material: sn.pub/extras
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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 a comprehensive catalogue of Sturm-Liouville differential equations covering more than fifty examples, together with their spectral properties. Many of these examples are connected with special functions and with problems in mathematical physics and applied mathematics.
The volume is addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. The book will also be of interest to those involved in applications of the theory to diverse areas such as engineering, fluid dynamics and computational spectral analysis.
Editors and Affiliations
Bibliographic Information
Book Title: Sturm-Liouville Theory
Book Subtitle: Past and Present
Editors: Werner O. Amrein, Andreas M. Hinz, David P. Pearson
DOI: https://doi.org/10.1007/3-7643-7359-8
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2005
Hardcover ISBN: 978-3-7643-7066-4Due: 19 May 2005
eBook ISBN: 978-3-7643-7359-7Published: 05 December 2005
Edition Number: 1
Number of Pages: XX, 336
Topics: Analysis, Partial Differential Equations, Mathematics, general