Inverse problems for discontinuous Dirac operator with eigenparameter dependent boundary and transmission conditions

GÜLDÜ Y., ARSLANTAŞ M.

Numerical Methods for Partial Differential Equations, cilt.39, sa.4, ss.3020-3036, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/num.22998
  • Dergi Adı: Numerical Methods for Partial Differential Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.3020-3036
  • Anahtar Kelimeler: characteristic function, Dirac operator, eigenfunction, eigenvalue, inverse problem, Weyl function, Weyl solution
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

© 2023 Wiley Periodicals LLC.In this study, we consider the discontinuous Dirac equations system with eigenparameter dependent boundary and finite number of transmission conditions. First, the space that corresponds to problem is introduced, the norm on this space is defined and the operator model that corresponds to the given problem is constructed on this space. Then the integral equations and asymptotics of eigenfunctions of the problem are obtained. The characteristic function is defined and the asymptotic formula of the characteristic function is given by using obtained asymptotics of eigenfunctions. After the Weyl solution and the Weyl function of the problem are formed. Finally, some uniqueness theorems are proved by using Weyl function and some spectral data.