Direct and inverse spectral problems for Dirac systems with nonlocal potentials

• Autorzy: Dębowska Kamila , Nizhnik Leonid P.

Identyfikatory

DOI

10.7494/OpMath.2019.39.5.645

• Języki publikacji: EN

Abstrakty

EN

The main purposes of this paper are to study the direct and inverse spectral problems of the one-dimensional Dirac operators with nonlocal potentials. Based on information about the spectrum of the operator, we find the potential and recover the form of the Dirac system. The methods used allow us to reduce the situation to the one-dimensional case. In accordance with the given assumptions and conditions we consider problems in a specific way. We describe the spectrum, the resolvent, the characteristic function etc. Illustrative examples are also given.

Słowa kluczowe

EN

inverse spectral problem; nonlocal potential; nonlocal boundary conditions; Dirac system

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2019
• Tom: Vol. 39, no. 5
• Strony: 645--673
• Opis fizyczny: Bibliogr.20 poz.

Twórcy

autor

Dębowska Kamila

• AGH University of Science and Technology Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Krakow, Poland

autor

Nizhnik Leonid P.

• NASU Institute of Mathematics Department of Functional Analysis Tereschenkivska Str. 3, 01 601 Kiev, Ukraine

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