FIRST-ORDER SELFADJOINT SINGULAR DIFFERENTIAL OPERATORS IN A HILBERT SPACE OF VECTOR FUNCTIONS
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume:
- Publication Date: 2017
- Journal Name: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Karadeniz Technical University Affiliated: Yes
Abstract
In this article, we give a representation of all selfadjoint extensions of the minimal operator generated by first-order linear symmetric multipoint singular differential expression, with operator coefficient in the direct sum of Hilbert spaces of vector-functions defined at the semi-infinite intervals. To this end we use the Calkin-Gorbachuk method. Finally, the geometry of spectrum set of such extensions is researched.