Inverse Sturm-Liouville problem with nonseparated boundary conditions on a geometric graph
type: Item
instance of: scholarly article
title: Inverse Sturm-Liouville problem with nonseparated boundary conditions on a geometric graph
zbMATH Open document ID: 1420.34042
DOI: 10.1134/S0012266119020058
author: Ya. T. Sultanaev
author: V. A. Sadovnichy
author: A. M. Akhtyamov
published in: Differential Equations
publication date: 2019-07-12T00:00:00Z
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
zbMATH DE Number: 7080151
zbMATH Keywords: differential equations
zbMATH Keywords: inverse problems
zbMATH Keywords: uniqueness result
Wikidata QID: Q115250635
reviewed by: V. A. Yurko
MaRDI profile type: Publication
cites work: Q4183612
cites work: Q3695595
cites work: Q5728657
cites work: Q5521760
cites work: Reconstruction formula for the potential function of Sturm–Liouville problem with eigenparameter boundary condition
cites work: Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
cites work: The inverse Sturm–Liouville problem with mixed boundary conditions
cites work: Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability
cites work: Q5685420
cites work: The inverse problem for differential operators of second order with regular boundary conditions
cites work: Q3767650
cites work: INVERSE PROBLEMS OF SPECTRAL ANALYSIS FOR STURM-LIOUVILLE OPERATORS WITH NONSEPARATED BOUNDARY CONDITIONS. II
cites work: An inverse problem for the Sturm-Liouville operator with nonseparable self-adjoint boundary conditions
cites work: Solution of a class of inverse boundary-value Sturm-Liouville problems
cites work: Analogues of Borg's uniqueness theorem in the case of nonseparated boundary conditions
cites work: The inverse spectral problem for differential operators with nonseparated boundary conditions
cites work: Inverse oscillation theory for Sturm–Liouville problems with non-separated boundary conditions
cites work: The inverse quasiperiodic problem for a diffusion operator
cites work: The inverse spectral problem for pencils of differential operators
cites work: Solvability theorems for an inverse nonself-adjoint Sturm-Liouville problem with nonseparated boundary conditions
cites work: Q3451906
cites work: An inverse problem for Sturm-Liouville operators on arbitrary compact spatial networks
cites work: Q5587847
cites work: Q5798956
cites work: On reconstruction of a matrix by its minors
full work available at URL: s0012266119020058
OpenAlex ID: W2931356502
description: scientific article; zbMATH DE number 7080151