Inverse spectral problem for Dirac operators by spectral data

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2017 English Publisher:National Library of SerbiaJournal:Filomat, volume 31, pages 1,065-1,077 (issn: 0354-5180, eissn: 2406-0933,

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Authors: Akcay, Ozge; Mamedov, Khanlar R.;

doi: 10.2298/fil1704065a

Inverse spectral problem for Dirac operators by spectral data

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Abstract

This work deals with the solution of the inverse problem by spectral data for Dirac operators with piecewise continuous coefficient and spectral parameter contained in boundary condition. The main theorem on necessary and sufficient conditions for the solvability of inverse problem is proved. The algorithm of the reconstruction of potential according to spectral data is given.

Related Organizations

Mersin University
Turkey

Keywords

Dirac operator, main equation, Inverse problems involving ordinary differential equations, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), inverse problem, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, spectral data

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