On a solution to the inverse problem of determination of a singular Sturm-Liouville equation from two spectra
type: Item
instance of: scholarly article
title: On a solution to the inverse problem of determination of a singular Sturm-Liouville equation from two spectra
zbMATH Open document ID: 0964.34077
author: Z. M. Gasymov
published in: Doklady Mathematics
publication date: 2001-01-28T00:00:00Z
review text: Consider the Sturm-Liouville equation \[ -y''+q(x)y=\mu y, \quad 0<x<\pi, \tag{1} \] where the potential \(q\) is real and satisfies the condition \(\int_0^\pi x|q(x)|dx<\infty.\) The author provides a solution to the inverse problem of recovering \(q\) from two spectra of the boundary value problems for equation (1) with the boundary conditions \(y(0)=y(\pi)=0\) and \(y(0)=y'(\pi)-hy(\pi)=0\). The inverse scattering problem is also considered.
Mathematics Subject Classification ID: 34L25
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34A55
zbMATH DE Number: 1557652
zbMATH Keywords: inverse problems
zbMATH Keywords: inverse scattering
zbMATH Keywords: spectrum
reviewed by: V. A. Yurko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1557652