Dissipative canonical type differential operators for first order
TURKISH JOURNAL OF MATHEMATICS, cilt.44, sa.2, ss.481-490, 2020 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 2
- Basım Tarihi: 2020
- Doi Numarası: 10.3906/mat-1912-52
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.481-490
- 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 the first order linear symmetric canonical type quasi-differential expression in the weighted Hilbert space of vector functions has been found. Also, the spectrum set of these extensions has been investigated.