Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition

Amirov R., Keskin B., Ozkan A. S.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.61, sa.9, ss.1365-1379, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 9
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s11253-010-0282-1
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1365-1379
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

We investigate a problem for the Dirac differential operators in the case where an eigenparameter not only appears in the differential equation but is also linearly contained in a boundary condition. We prove uniqueness theorems for the inverse spectral problem with known collection of eigenvalues and normalizing constants or two spectra.