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Sturm-Liouville Theory

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Cover of 'Sturm-Liouville Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Sturm’s 1836 Oscillation Results Evolution of the Theory
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    Chapter 2 Sturm Oscillation and Comparison Theorems
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    Chapter 3 Charles Sturm and the Development of Sturm-Liouville Theory in the Years 1900 to 1950
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    Chapter 4 Spectral Theory of Sturm-Liouville Operators Approximation by Regular Problems
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    Chapter 5 Spectral Theory of Sturm-Liouville Operators on Infinite Intervals: A Review of Recent Developments
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    Chapter 6 Asymptotic Methods in the Spectral Analysis of Sturm-Liouville Operators
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    Chapter 7 The Titchmarsh-Weyl Eigenfunction Expansion Theorem for Sturm-Liouville Differential Equations
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    Chapter 8 Sturm’s Theorems on Zero Sets in Nonlinear Parabolic Equations
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    Chapter 9 A Survey of Nonlinear Sturm-Liouville Equations
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    Chapter 10 Boundary Conditions and Spectra of Sturm-Liouville Operators
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    Chapter 11 Uniqueness of the Matrix Sturm-Liouville Equation given a Part of the Monodromy Matrix, and Borg Type Results
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    Chapter 12 A Catalogue of Sturm-Liouville Differential Equations
Attention for Chapter 6: Asymptotic Methods in the Spectral Analysis of Sturm-Liouville Operators
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