On the spectrum of singular Hahn-Sturm-Liouville operators

Allahverdiyev, Biləndər; TUNA, HÜSEYİN

doi:10.32513/asetmj/19322008225

On the spectrum of singular Hahn-Sturm-Liouville operators

Allahverdiyev B., TUNA H.

Advanced Studies: Euro-Tbilisi Mathematical Journal, vol.15, no.3, pp.75-90, 2022 (Scopus)

Nəşrin Növü: Article / Article
Cild: 15 Say: 3
Nəşr tarixi: 2022
Doi nömrəsi: 10.32513/asetmj/19322008225
jurnalın adı: Advanced Studies: Euro-Tbilisi Mathematical Journal
Jurnalın baxıldığı indekslər: Scopus
Səhifə sayı: pp.75-90
Açar sözlər: continuous spectrum, discrete spectrum, Hahn-Sturm-Liouville operator, splitting method
Açıq Arxiv Kolleksiyası: Məqalə
Adres: Yox

Qısa məlumat

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.