TY  - JOUR
ID  - Dębowska2019
LB  - Dębowska2019
AU  - Dębowska, Kamila
AU  - Nizhnik, Leonid P.
TI  - Direct and inverse spectral problems for Dirac systems with nonlocal potentials
ST  - Direct and inverse spectral problems for Dirac systems with nonlocal potentials
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2019
VL  - 39
IS  - 5
SP  - 645
EP  - 673
DO  - https://doi.org/10.7494/OpMath.2019.39.5.645
UR  - https://doi.org/10.7494/OpMath.2019.39.5.645
AB  - 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 informations 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.
KW  - inverse spectral problem
KW  - nonlocal potential
KW  - nonlocal boundary conditions
KW  - Dirac system
SN  - 1232-9274
ER  -