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 pres...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Amrein, Werner O. (Επιμελητής έκδοσης), Hinz, Andreas M. (Επιμελητής έκδοσης), Pearson, David P. (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Birkhäuser Basel, 2005.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.