Sturm-Liouville Theory: Past and PresentWerner O. Amrein, Andreas M. Hinz, David B. Pearson Springer Science & Business Media, 19 de maig 2005 - 336 pàgines 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 present day research. It is the first time that such a comprehensive survey has been made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research. |
Continguts
Sturms 1836 Oscillation Results Evolution of the Theory | 1 |
Sturm Oscillation and Comparison Theorems | 29 |
Charles Sturm and the Development of SturmLiouville Theory in the Years 1900 to 1950 | 45 |
Spectral Theory of SturmLiouville Operators Approximation by Regular Problems | 75 |
A Review of Recent Developments | 99 |
Asymptotic Methods in the Spectral Analysis of SturmLiouville Operators | 121 |
The TitchmarshWeyl Eigenfunction Expansion Theorem for SturmLiouville Differential Equations | 137 |
Sturms Theorems on Zero Sets in Nonlinear Parabolic Equations | 173 |
A Survey of Nonlinear SturmLiouville Equations | 201 |
Boundary Conditions and Spectra of SturmLiouville Operators | 217 |
Uniqueness of the Matrix SturmLiouville Equation given a Part of the Monodromy Matrix and Borg Type Results | 237 |
A Catalogue of SturmLiouville Differential Equations | 271 |
333 | |
Altres edicions - Mostra-ho tot
Sturm-Liouville Theory: Past and Present Werner O. Amrein,Andreas M. Hinz,David B. Pearson Previsualització limitada - 2005 |
Sturm-Liouville Theory: Past and Present Werner O. Amrein,Andreas M. Hinz,David B. Pearson Previsualització no disponible - 2009 |