INVERSE PROBLEM FOR SINGULAR DIFFUSION OPERATOR

ERGÜN A.

MISKOLC MATHEMATICAL NOTES, cilt.22, sa.1, ss.173-192, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.18514/mmn.2021.3377
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.173-192
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study, singular diffusion operator with jump conditions is considered. Integral representations have been derived for solutions that satisfy boundary conditions and jump conditions. Some properties of eigenvalues and eigenfunctions are investigated. Asymtotic representation of eigenvalues and eigenfunctions have been obtained. Reconstruction of the singular diffusion operator have been shown by the Weyl function.