{"title":"Direct Problem of Scattering Theory for a Dirac System of Differential Equations on the Half-Line in the Case of Finite Density","authors":"A. E. Mamatov","doi":"10.1134/s0012266124030029","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> In this paper, we study the direct scattering problem on the half-line for the Dirac system\nof differential equations in the case of finite density with the boundary condition <span>\\(y_{1}(0)=y_{2}(0) \\)</span>. The spectrum is studied, the resolvent is\nconstructed, and the spectral expansion in the eigenfunctions of the Dirac operator is obtained.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266124030029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we study the direct scattering problem on the half-line for the Dirac system
of differential equations in the case of finite density with the boundary condition \(y_{1}(0)=y_{2}(0) \). The spectrum is studied, the resolvent is
constructed, and the spectral expansion in the eigenfunctions of the Dirac operator is obtained.
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