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Sturm-Liouville Theory: Past and Present

Publisher: 
Birkhäuser
Number of Pages: 
335
Price: 
89.95
ISBN: 
3-7643-7066-1
Date Received: 
Saturday, August 27, 2005
Reviewable: 
Include In BLL Rating: 
Reviewer Email Address: 
Werner O. Amrein, Andreas M. Hinz, and David B. Pearson, editors
Publication Date: 
2005
Format: 
Hardcover
Category: 
Proceedings

Preface

Scientific Lectures given at the Sturm Colloquium

Introduction (David Pearson)

Don Hinton
Sturm’s 1836 Oscillation Results. Evolution of the Theory

Barry Simon
Sturm Oscillation and Comparison Theorems

W. Norrie Everitt
Charles Sturm and the Development of Sturm-Liouville Theory in the Years 1900 to 1950

Joachim Weidmann
Spectral Theory of Sturm-Liouville Operators. Approximation by Regular Problems

Yoram Last
Spectral Theory of Sturm-Liouville Operators on Infinite Intervals: A Review of Recent Developments

Daphne Gilbert
Asymptotic Methods in the Spectral Analysis of Sturm-Liouville Operators

Christer Bennewitz and W. Norrie Everitt
The Titchmarsh-Weyl Eigenfunction Expansion Theorem for Sturm-Liouville Differential Equations

Victor A. Galaktionov and Petra J. Harwin
Sturm’s Theorems on Zero Sets in Nonlinear Parabolic Equations

Chao-Nien Chen
A Survey of Nonlinear Sturm-Liouville Equations

Rafael del Río
Boundary Conditions and Spectra of Sturm-Liouville Operators

Mark M. Malamud
Uniqueness of the Matrix Sturm-Liouville Equation given a Part of the Monodromy Matrix, and Borg Type Results

W. Norrie Everitt
A Catalogue of Sturm-Liouville Differential Equations

Index

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