Sturm-Liouville differential operators in direct sum spaces
type: Item
instance of: scholarly article
title: Sturm-Liouville differential operators in direct sum spaces
zbMATH Open document ID: 0624.34020
DOI: 10.1216/RMJ-1986-16-3-497
published in: Rocky Mountain Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Sturm-Liouville problems with coefficients which have a singularity in the interior of the interval under consideration are of interest in applied mathematics and mathematical physics. This singular point may be viewed as a left end point of one interval and a right end point of another. Motivated in part by the occurrence of this kind of problem, the authors study more general situations: Sturm-Liouville boundary value problems on two intervals in the setting of the direct sum of the \(L^ 2\) spaces of functions defined on each of the separate intervals, providing an operator theoretic framework for the study of two differential operators together.
Mathematics Subject Classification ID: 34L99
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 4013061
zbMATH Keywords: singular problems
zbMATH Keywords: self-adjoint extensions
zbMATH Keywords: self-adjoint operators in direct sum spaces
zbMATH Keywords: Sturm-Liouville problems
author: W. N. Everitt
author: Anton Zettl
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4013061