Multiplicities and relative position of eigenvalues of a quadratic pencil of Sturm-Liouville operators
type: Item
instance of: scholarly article
title: Multiplicities and relative position of eigenvalues of a quadratic pencil of Sturm-Liouville operators
zbMATH Open document ID: 0967.34075
DOI: 10.1007/BF02676667
author: R. Smith
published in: Mathematical Notes
publication date: 2000-11-16T00:00:00Z
review text: The author considers the boundary value problem consisting of the equation \[ y''+ (\lambda^2- 2\lambda p(x)- q(x)) y=0,\quad x\in [0,\pi], \] and the boundary conditions \[ a_{i1}y(0)+ a_{i2} y'(0)+ a_{i3}y(\pi)+ a_{i4}y'(\pi)= 0,\quad i= 1,2. \] Criteria for the eigenvalues to be multiple are given and the relative position of the eigenvalues is studied.
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34L30
Mathematics Subject Classification ID: 34L10
zbMATH DE Number: 1531329
zbMATH Keywords: multiplicities
zbMATH Keywords: relative position of eigenvalues
zbMATH Keywords: Sturm-Liouville operators
reviewed by: Qingkai Kong
MaRDI profile type: Publication
cites work: Q4183612
cites work: Q5848416
cites work: Q3937005
cites work: Q3767650
cites work: Q3814054
cites work: Solution of a class of inverse boundary-value Sturm-Liouville problems
Wikidata QID: Q126211232
description: scientific article; zbMATH DE number 1531329