On the spectrum of singular Hahn-Sturm-Liouville operators
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, cilt.15, sa.3, ss.75-90, 2022 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 15 Sayı: 3
- Basım Tarihi: 2022
- Doi Numarası: 10.32513/asetmj/19322008225
- Dergi Adı: ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.75-90
- Anahtar Kelimeler: Hahn-Sturm-Liouville operator, splitting method, discrete spectrum, continuous spectrum, EQUATIONS, CRITERIA
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, we study the spectrum of Hahn-Sturm-Liouville operators. In this context, it is shown that the regular symmetric Hahn-Sturm-Liouville operator is semi-bounded from below. Moreover, we give some conditions for the self-adjoint singular Hahn-Sturm-Liouville operator to have a discrete spectrum. The method of proof is based on the splittings technique. Finally, we investigate the continuous spectrum of this operator.