Preliminaries; Contents; Preface; Scientific Lectures given at the Sturm Colloquium; Introduction; Sturm's 1836 Oscillation Results Evolution of the Theory; Sturm Oscillation and Comparison Theorems; Charles Sturm and the Development of Sturm-Liouville Theory in the Years 1900 to 1950; Spectral Theory of Sturm-Liouville Operators. Approximation by Regular Problems; Spectral Theory of Sturm-Liouville Operators on Infinite Intervals: A Review of Recent Developments; Asymptotic Methods in the Spectral Analysis of Sturm Liouville Operators.
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SUMMARY OR ABSTRACT
Text of Note
This collection of articles on Sturm-Liouville theory is based on lectures presented at the colloquium and workshop held in Geneva on the occasion of Sturm's 200th anniversary. A historical survey of the field is combined with in-depth coverage of later developments and contemporary research in this major area of modern mathematics and its applications. The authors are among the world's leading experts in this field.