Sturm-Liouville Theory (eBook, PDF)

Past and Present

• Format: PDF

Produktdetails

• Verlag: Springer Basel
• Erscheinungstermin: 5. Dezember 2005
• Englisch
• ISBN-13: 9783764373597
• Artikelnr.: 37398256

Autorenporträt

Werner Amrein, Université de Genève, Switzerland / Andreas Hinz, University of Munich and TU Munich, Germany / David Pearson, University of Hull, UK

Inhaltsangabe

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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.