SELFADJOINT SINGULAR DIFFERENTIAL OPERATORS OF FIRST ORDER AND THEIR SPECTURM

İsmailov Z., İpek Al P.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2016
  • Journal Name: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Karadeniz Technical University Affiliated: Yes

Abstract

Based on Calkin-Gorbachuk method, we describe all selfadjoint extensions of the minimal operator generated by linear multipoint singular symmetric differential-operator, as a direct sum of weighted Hilbert space of vector-functions. Another approach to the investigation of this problem has been done by Everitt, Zettl and Markus. Also we study the structure of spectrum of these extensions.