ABSTRACT

One of the masters in the differential equations community, the late F.V. Atkinson contributed seminal research to multiparameter spectral theory and Sturm-Liouville theory. His ideas and techniques have long inspired researchers and continue to stimulate discussion. With the help of co-author Angelo B. Mingarelli, Multiparameter Eigenvalue Problem

chapter 1|16 pages

Preliminaries and Early History

chapter 2|20 pages

Some Typical Multiparameter Problems

chapter 3|16 pages

Definiteness Conditions and the Spectrum

chapter 4|32 pages

Determinants of Functions

chapter 5|20 pages

Oscillation Theorems

chapter 6|12 pages

Eigencurves

chapter 8|14 pages

Distribution of Eigenvalues

chapter 9|14 pages

The Essential Spectrum

chapter 10|36 pages

The Completeness of Eigenfunctions

chapter 11|26 pages

Limit-Circle, Limit-Point Theory

chapter 12|14 pages

Spectral Functions