Selfadjoint extensions of a singular differential operator

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Bairamov E., Mert R. O., İSMAİLOV Z.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.50, sa.5, ss.1100-1110, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 5
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s10910-011-9953-x
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1100-1110
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this work, firstly in the Hilbert space of vector-functions all selfadjoint extensions of the minimal operator generated by linear singular symmetric differential expression with a selfadjoint operator coefficient A in any Hilbert space H, are described in terms of boundary values. Later structure of the spectrum of these extensions is investigated.