Sufficient conditions for the eigenvalues of the operator \(-d^2/dx^2+q(x)\) under the Ionkin-Samarskii conditions
type: Item
instance of: scholarly article
title: Sufficient conditions for the eigenvalues of the operator \(-d^2/dx^2+q(x)\) under the Ionkin-Samarskii conditions
zbMATH Open document ID: 1011.34015
author: B. I. Bandyrskii
author: Vladimir L. Makarov
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-05-19T00:00:00Z
review text: The authors propose and substantiate an exponentially converging functional-discrete (FD) method for the Sturm-Liouville problem under the Ionkin-Samarskii conditions. Until recently, sufficiently general restrictions under which all the eigenvalues are real have not been found. Using the method under consideration, this problem is solved. The results of numerical experiments are presented.
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 34L16
Mathematics Subject Classification ID: 65L15
zbMATH DE Number: 1779341
zbMATH Keywords: Sturm-Liouville problem
zbMATH Keywords: eigenvalues
zbMATH Keywords: real
zbMATH Keywords: sufficient conditions
zbMATH Keywords: numerical method
zbMATH Keywords: convergence
zbMATH Keywords: operator
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1779341