Inverse Nodal Problems for Dirac-Type Integro-Differential Operators with Linear Functions in the Boundary Condition

KESKİN B., TEL AYDIN H.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.43, ss.1289-1301, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/01630563.2022.2099419
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1289-1301
  • Anahtar Kelimeler: Dirac operator, integral-differential operators, inverse nodal problem, uniqueness theorem, spectral problems, SPECTRAL PROBLEM, EQUATIONS, SYSTEM
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this article, Dirac-type integro-differential operator with linear functions in the boundary condition is considered. We obtain asymptotic expressions for the solution of the differential system and derive the large eigenvalues and nodal points. We also give a constructive procedure for solving an inverse nodal problem. We prove that a dense subset of the nodes determines the coefficients of the differential part of the operator and gives partial information for the integral part of it.