Identification of a polynomial in nonsplitting boundary conditions
type: Item
instance of: scholarly article
title: Identification of a polynomial in nonsplitting boundary conditions
zbMATH Open document ID: 1267.34031
DOI: 10.1134/S0012266112110110
author: R. R. Kumushbaev
author: A. M. Akhtyamov
published in: Differential Equations
publication date: 2013-03-04T00:00:00Z
review text: The paper deals with boundary value problems for the Sturm-Liouville equation on a finite interval, with non-separated boundary conditions, which are dependent on the spectral parameter. Assuming that one of the coefficient in these conditions is a polynomial (in the spectral parameter), the problem is to reconstruct the coefficients of this polynomial from a certain finite set of eigenvalues. The authors present conditions guaranteeing the unique determination of the coefficients.
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34B07
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34B09
zbMATH DE Number: 6140971
zbMATH Keywords: Sturm-Liouville operator
zbMATH Keywords: non-separated boundary conditions
zbMATH Keywords: boundary conditions involving spectral parameter
reviewed by: Dmitry Shepelsky
MaRDI profile type: Publication
cites work: Q3346584
cites work: Q3840820
cites work: On coefficients of eigenfunction expansions for boundary-value problems with a parameter in the boundary conditions
cites work: Q3900347
cites work: Q2717359
cites work: Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
full work available at URL: s0012266112110110
OpenAlex ID: W2078603015
description: scientific article; zbMATH DE number 6140971