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About this book
Introduction
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 SturmLiouville 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 SturmLiouville theory and as background for ongoing research.
The text is particularly strong on the spectral theory of SturmLiouville 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 nonlinear problems, and various generalizations of Borg's inverse theory. A unique feature of the book is a comprehensive catalogue of SturmLiouville 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.
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Bibliographic information
 Book Title SturmLiouville Theory
 Book Subtitle Past and Present

Editors
Werner O. Amrein
Andreas M. Hinz
David B. Pearson
 DOI https://doi.org/10.1007/3764373598
 Copyright Information Birkhäuser Verlag 2005
 Publisher Name Birkhäuser Basel
 eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
 Hardcover ISBN 9783764370664
 eBook ISBN 9783764373597
 Edition Number 1
 Number of Pages XX, 336
 Number of Illustrations 0 b/w illustrations, 0 illustrations in colour

Topics
Analysis
Partial Differential Equations
Mathematics, general
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