Universal Journal of Mathematics and Applications
| dc.authorscopusid | 57192006380 | |
| dc.authorscopusid | 58173041200 | |
| dc.contributor.author | Ços¸kun N. | |
| dc.contributor.author | Görgülü M. | |
| dc.date.accessioned | 2024-01-22T12:22:47Z | |
| dc.date.available | 2024-01-22T12:22:47Z | |
| dc.date.issued | 2023 | |
| dc.department | KMÜ | en_US |
| dc.description.abstract | In this paper, we shall study the spectral properties of the non-selfadjoint operator in the space [Formula presented] generated by the Sturm-Liouville differential equation [Formula presented] with the integral type boundary condition [Formula presented] and the non-standard weight function where |?|+|?| ? 0. There are an enormous number of papers considering the positive values of ?(x) for both continuous and discontinuous cases. The structure of the weight function affects the analytical properties and representations of the solutions of the equation. Differently from the classical literature, we used the hyperbolic type representations of the fundamental solutions of the equation to obtain the spectrum of the operator. Moreover, the conditions for the finiteness of the eigenvalues and spectral singularities were presented. Hence, besides generalizing the recent results, Naimark’s and Pavlov’s conditions were adopted for the negative weight function case. © Authors own the copyright of their work published in the journal and their work is published under the CC BY-NC 4.0 license | en_US |
| dc.identifier.doi | 10.32323/ujma.2821678 | |
| dc.identifier.endpage | 29 | en_US |
| dc.identifier.issn | 26199653 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85176254413 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 23 | en_US |
| dc.identifier.uri | https://doi.org/10.32323/ujma.2821678 | |
| dc.identifier.uri | https://hdl.handle.net/11492/8139 | |
| dc.identifier.volume | 6 | en_US |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Emrah Evren KARA | en_US |
| dc.relation.ispartof | Universal Journal of Mathematics and Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.snmz | kmusnmz | |
| dc.subject | Resolvent operator | en_US |
| dc.subject | Spectral analysis | en_US |
| dc.subject | Spectral singularities | en_US |
| dc.subject | Sturm-Liouville equations | en_US |
| dc.title | Universal Journal of Mathematics and Applications | en_US |
| dc.type | Article |
