On the spectrum of singular q-Sturm-Liouville operators on the whole axis
We give some conditions for the self-adjoint operators associated with the q-Sturm-Liouville expression ?y := ? 1/q Dq ?1 (p(x)Dqy(x)) + r(x), ? ? < x < ?. to have a discrete spectrum, and investigate the continuous spectra of these operators. We also prove that the regular symmetric q-Sturm-Liouville operator is semi-bounded from below which is not studied in literature yet.
Authors
- Hüseyin Tuna (ORCID: https://orcid.org/0000-0001-7240-8687)
- Bilender P. Allahverdiev (ORCID: https://orcid.org/0000-0002-9315-4652)
Institutions
- Khazar University (AZ)
- Azerbaijan State University of Economics (AZ)
- Burdur Mehmet Akif Ersoy Üniversitesi (TR)
Publication Details
- Journal
- Publications de l Institut Mathematique
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/pim2531105a
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00