NORMAL DIFFERENTIAL OPERATORS OF FIRST-ORDER WITH SMOOTH COEFFICIENTS

İSMAİLOV Z., Erol M.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.42, sa.2, ss.633-642, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1216/rmj-2012-42-2-633
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.633-642
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this work, in terms of boundary values all normal extensions of a class of formally normal minimal operators, generated by a linear differential-operator expression of first-order with smooth operator coefficients are described in Hilbert space of vector-functions in a finite interval. The structure of the spectrum of the normal extensions is investigated.