Extensions of the matrix-valued q-Sturm-Liouville operators
TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.3, ss.1479-1494, 2021 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 3
- Basım Tarihi: 2021
- Doi Numarası: 10.3906/mat-2101-115
- 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.1479-1494
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the matrix-valued q- Sturm-Liouville problems. We establish an existence and uniqueness result. Later, we introduce the corresponding maximal and minimal operators for this system. Moreover, we give a criterion under which these operators are self-adjoint. Finally, we characterize extensions (maximal dissipative, maximal accumulative, and self-adjoint) of the minimal symmetric operator.