Inverse spectral problem for non-selfadjoint Dirac operator with boundary and jump conditions dependent on the spectral parameter
type: Item
instance of: scholarly article
title: Inverse spectral problem for non-selfadjoint Dirac operator with boundary and jump conditions dependent on the spectral parameter
zbMATH Open document ID: 1347.34027
author: Zhaoying Wei
author: Guangsheng Wei
published in: Journal of Computational and Applied Mathematics
publication date: 2016-08-16T00:00:00Z
review text: The inverse spectral problem for the classical Dirac operator on a finite interval is studied in the case when boundary and jump conditions depend linearly on the spectral parameter. An algorithm for constructing the solution of the inverse problem along with the uniqueness theorem are obtained.
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 6617300
zbMATH Keywords: Dirac operator
zbMATH Keywords: inverse spectral problem
zbMATH Keywords: method of spectral mappings
reviewed by: V. A. Yurko
MaRDI profile type: Publication
full work available at URL: j.cam.2016.05.018
OpenAlex ID: W2413958980
cites work: Discontinuous inverse eigenvalue problems
cites work: Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
cites work: Uniqueness for inverse Sturm-Liouville problems with a finite number of transmission conditions
cites work: Regular eigenvalue problems with eigenvalue parameter in the boundary condition
cites work: STURM–LIOUVILLE PROBLEMS WITH BOUNDARY CONDITIONS RATIONALLY DEPENDENT ON THE EIGENPARAMETER. I
cites work: Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
cites work: Equivalence of inverse Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter.
cites work: Inverse Spectral Problems for Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions
cites work: Recovery of the \(m\)-function from spectral data for generalized Sturm-Liouville problems
cites work: Q2717359
cites work: Hearing Point Masses in a String
cites work: On a System of Dirac Differential Equations with Discontinuity Conditions Inside an Interval
cites work: Inverse spectral problems for Dirac operator with eigenvalue dependent boundary and jump conditions
cites work: Q3695595
cites work: Method of spectral mappings in the inverse problem theory
cites work: On inverse spectral problem for non-selfadjoint Sturm-Liouville operator on a finite interval
cites work: Q4530224
cites work: Q4837918
DOI: 10.1016/J.CAM.2016.05.018
description: scientific article; zbMATH DE number 6617300