Sturm-Liouville Theory Past and Present /

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 pre...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Amrein, Werner O. (Editor ), Hinz, Andreas M. (Editor ), Pearson, David B. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2005.
Edición:1st ed. 2005.
Temas:
Mathematical analysis.
Differential equations.
Mathematics.
Analysis.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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