On the existence of an eigenvalue below the essential spectrum

Authors
Brown, BM McCormack, DKR Zettl, A
Citation
Bm. Brown et al., On the existence of an eigenvalue below the essential spectrum, P ROY SOC A, 455(1986), 1999, pp. 2229-2234
Citations number
9
Categorie Soggetti
Multidisciplinary
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN journal
13645021 → ACNP
Volume
455
Issue
1986
Year of publication
1999
Pages
2229 - 2234
Database
ISI
SICI code
1364-5021(19990608)455:1986<2229:OTEOAE>2.0.ZU;2-M
Abstract
This paper is concerned with a computer-assisted proof of eigenvalues below the essential spectrum of the Sturm-Liouville problem on the half-line. It uses methods of functional analysis and interval analysis to derive algori thms that may be used to prove the existence of such eigenvalues.