Dissipative Dirac Operator with General Boundary Conditions on Time Scales
UKRAINIAN MATHEMATICAL JOURNAL, cilt.72, sa.5, ss.671-689, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 72 Sayı: 5
- Basım Tarihi: 2020
- Doi Numarası: 10.1007/s11253-020-01808-8
- Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.671-689
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
We consider symmetric Dirac operators on bounded time scales. Under general boundary conditions, we describe extensions (dissipative, accumulative, self-adjoint, etc.) of these symmetric operators. We construct a self-adjoint dilation of the dissipative operator. Hence, we determine the scattering matrix of dilation. Then we construct a functional model of this operator and define its characteristic function. Finally, we prove that all root vectors of this operator are complete.