2005

Sturm-Liouville Theory

Past and Present

Editors:

ISBN: 978-3-7643-7066-4 (Print) 978-3-7643-7359-7 (Online)

Table of contents (12 chapters)

  1. No Access

    Book Chapter

    Pages 1-27

    Sturm’s 1836 Oscillation Results Evolution of the Theory

  2. No Access

    Book Chapter

    Pages 29-43

    Sturm Oscillation and Comparison Theorems

  3. No Access

    Book Chapter

    Pages 45-74

    Charles Sturm and the Development of Sturm-Liouville Theory in the Years 1900 to 1950

  4. No Access

    Book Chapter

    Pages 75-98

    Spectral Theory of Sturm-Liouville Operators Approximation by Regular Problems

  5. No Access

    Book Chapter

    Pages 99-120

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

  6. No Access

    Book Chapter

    Pages 121-136

    Asymptotic Methods in the Spectral Analysis of Sturm-Liouville Operators

  7. No Access

    Book Chapter

    Pages 137-171

    The Titchmarsh-Weyl Eigenfunction Expansion Theorem for Sturm-Liouville Differential Equations

  8. No Access

    Book Chapter

    Pages 173-199

    Sturm’s Theorems on Zero Sets in Nonlinear Parabolic Equations

  9. No Access

    Book Chapter

    Pages 201-216

    A Survey of Nonlinear Sturm-Liouville Equations

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    Book Chapter

    Pages 217-235

    Boundary Conditions and Spectra of Sturm-Liouville Operators

  11. No Access

    Book Chapter

    Pages 237-270

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

  12. No Access

    Book Chapter

    Pages 271-331

    A Catalogue of Sturm-Liouville Differential Equations