On the uniqueness of the solution of the inverse Sturm-Liouville problem with nonseparated boundary conditions on a geometric graph
type: Item
instance of: scholarly article
title: On the uniqueness of the solution of the inverse Sturm-Liouville problem with nonseparated boundary conditions on a geometric graph
zbMATH Open document ID: 1407.34031
DOI: 10.1134/S1064562418050113
author: Ya. T. Sultanaev
author: V. A. Sadovnichy
author: A. M. Akhtyamov
published in: Doklady Mathematics
publication date: 2018-11-01T00:00:00Z
review text: The classical Sturm-Liouville equation is considered on a star-shaped graph with three edges and with boundary conditions at the boundary edges. The authors study an inverse problem of recovering coefficients in the boundary conditions from the given eigenvalues, provided that coefficients in the differential equations (potentials) are known a priori. Uniqueness results are obtained for this class of inverse problems.
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34B45
zbMATH DE Number: 6970082
zbMATH Keywords: differential equations
zbMATH Keywords: inverse problems
zbMATH Keywords: uniqueness result
reviewed by: V. A. Yurko
MaRDI profile type: Publication
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full work available at URL: s1064562418050113
OpenAlex ID: W2891988330
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description: scientific article; zbMATH DE number 6970082