2015/10/10 by Khanlar R. Mamedov, Mamedov, Khanlar R., Özge Akçay +2
Computer Science · Mathematics · #34A55 #34L10 #34L40 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories #math.SP #msc:34A55 #msc:34L10 #msc:34L40
paper · pdf · doi:10.48550/arxiv.1510.02915
13 pages
arxiv created 2015/10/10 · openalex publication_date 2015/10/10 · arxiv updated 2015/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is related to an inverse problem for a class of Dirac operators with discontinuous coefficient and eigenvalue parameter contained in boundary conditions. The asymptotic formula of eigenvalues of this problem is examined. The theorem on completeness of eigenfunctions is proved. The expansion formula with respect to eigenfunctions is obtained and Parseval equality is given. Weyl solution and Weyl function are constructed. Uniqueness theorem of the inverse problem respect to the Weyl function is proved.