Direct and inverse spectral problems for Dirac systems with nonlocal potentials

Opuscula Mathematica

article

Kamila Dębowska¹  Leonid P. Nizhnik² 

[1] AGH University of Science and Technology, Faculty of Applied Mathematics;NASU Institute of Mathematics, Department of Functional Analysis

关键词: inverse spectral problem;    nonlocal potential;    nonlocal boundary conditions;    Dirac system.;   

DOI  :  10.7494/OpMath.2019.39.5.645

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

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.

【 授权许可】

CC BY-NC