Sturm-Liouville Theory Past and Present /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Amrein, Werner O. (Editor), Hinz, Andreas M. (Editor), Pearson, David P. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2005.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Analysis.; Partial Differential Equations.; Mathematics, general.

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 pres...

Table of Contents:

• 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
• The Titchmarsh-Weyl Eigenfunction Expansion Theorem for Sturm-Liouville Differential Equations
• Sturm’s Theorems on Zero Sets in Nonlinear Parabolic Equations
• A Survey of Nonlinear Sturm-Liouville Equations
• Boundary Conditions and Spectra of Sturm-Liouville Operators
• Uniqueness of the Matrix Sturm-Liouville Equation given a Part of the Monodromy Matrix, and Borg Type Results
• A Catalogue of Sturm-Liouville Differential Equations.