First order maximally dissipative singular differential operators

İPEK AL P., İSMAİLOV Z.

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

  • Publication Type: Conference Paper / Full Text
  • Volume: 2183
  • Doi Number: 10.1063/1.5136124
  • Keywords: Dissipative differential operator, selfadjoint differential operator, deficiency index, space of boundary values, spectrum
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.