On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions


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GÜLDÜ Y.

BOUNDARY VALUE PROBLEMS, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1186/s13661-016-0639-y
  • Dergi Adı: BOUNDARY VALUE PROBLEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we consider a discontinuous Dirac operator with eigenparameter dependent both boundary and two transmission conditions. We introduce a suitable Hilbert space formulation and get some properties of eigenvalues and eigenfunctions. Then we investigate the Green's function, the resolvent operator, and some uniqueness theorems by using the Weyl function and some spectral data.