Spectral analysis of some classes first-order normal differential operators


İPEK AL P.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, ss.2308-2326, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1902-91
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.2308-2326

Özet

In this paper, the general form of all normal differential operators generated by first-order linear singular differential expressions in the weighted Hilbert spaces of vector-functions on right semiaxis has been found. Later on, the spectrum set of these type extensions is investigated. Finally, the asymptotical behavior of the singular numbers of any normal extension is studied.