Inverse spectral problems for Dirac operator with eigenvalue dependent boundary and jump conditions

Keskin B., Ozkan A. S.

ACTA MATHEMATICA HUNGARICA, cilt.130, sa.4, ss.309-320, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 130 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s10474-010-0052-4
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.309-320
  • Anahtar Kelimeler: Dirac operator, spectrum, inverse problem, jump condition, STURM-LIOUVILLE PROBLEMS, PARAMETER, EIGENPARAMETER, EQUATIONS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

We deal with the Dirac operator with eigenvalue dependent boundary and jump conditions. Properties of eigenvalues, eigenfunctions and the resolvent operator are studied. Moreover, uniqueness theorems of the inverse problem according to the Weyl functions and the spectral data (the sets of eigenvalues and norming constants; two different eigenvalues sets) are proved.