Uniqueness of the solution of the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the boundary condition.
type: Item
instance of: scholarly article
title: Uniqueness of the solution of the inverse problem of scattering theory for the Sturm-Liouville operator with a spectral parameter in the boundary condition.
zbMATH Open document ID: 1058.34009
DOI: 10.1023/A:1025035620342
published in: Mathematical Notes
publication date: 2004-12-02T00:00:00Z
review text: The inverse scattering problem is solved for the Sturm-Liouville equation \[ -y''+q(x)y=\lambda^2 y,\; x>0,\; (1+x)q(x)\in L(0,\infty), \] with the boundary condition \(y'(0)=(a_0+ia_1\lambda+a_2\lambda^2)y(0)=0\), where \(q(x)\) and \(a_0\) are real, and \(a_1\geq 0,\, a_2>0\).
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34B07
Mathematics Subject Classification ID: 34L25
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 2121022
zbMATH Keywords: inverse scattering problem
zbMATH Keywords: transformation operator method
author: Kh. R. Mamedov
reviewed by: V. A. Yurko
MaRDI profile type: Publication
full work available at URL: a:1025035620342
OpenAlex ID: W2053016591
description: scientific article; zbMATH DE number 2121022