First order maximally dissipative singular differential operators

İPEK AL P., İSMAİLOV Z.

3. International Conference of Mathematical Sciences (ICMS 2019), 4 - 08 Eylül 2019, cilt.2183 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2183
  • Doi Numarası: 10.1063/1.5136124
  • Anahtar Kelimeler: Dissipative differential operator, selfadjoint differential operator, deficiency index, space of boundary values, spectrum
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, using the Calkin-Gorbachuk method, the general form of all maximally dissipative extensions of the minimal operator generated by first order linear multipoint symmetric singular differential-operator expression in the direct sum of Hilbert space of vector-functions has been found. Later on, the structure of spectrum of these extensions is researched. Finally, the results are supported by application.