Riesz basisness of root functions of a sturm–liouville operator with conjugate conditions
| dc.authorid | 0000-0002-0690-9667 | en_US |
| dc.contributor.author | Cabri, Olgun | |
| dc.contributor.author | Mamedov, Kr Residoglu | |
| dc.date.accessioned | 2020-04-29T07:54:38Z | |
| dc.date.available | 2020-04-29T07:54:38Z | |
| dc.date.issued | 2020 | |
| dc.department | AÇÜ, Hopa İktisadi ve İdari Bilimler Fakültesi | en_US |
| dc.description.abstract | In this paper we are interested in Riesz basisness of root functions of the non-selfadjoint a discontinuous Sturm–Liouville operator with periodic boundary condition which are not strong regular and with conjugate conditions. Here we assume that the potentials are complex valued and continuously differentiable functions. One of conjugate conditions have different finite one-sided limits at point zero. In order to prove Riesz basisness of root functions, we firstly obtain asymptotic expressions of fundamental solutions. Putting these solutions into characteristic determinant, we get asymptotic formulas of eigenvalues by means of Rouche theorem. Asymptotic formulas of eigenfunctions acquired by obtained relation and fundamental solutions. By the aid of asymptotic formulas of eigenfunctions and Bessel properties of eigenfunctions we prove the basisness of the root functions of the boundary value problem. We also prove the Riesz basisness of root functions of the same operator with antiperiodic boundary conditions and with same conjugate conditions. | |
| dc.identifier.citation | Cabri, O., & Mamedov, K. R. (2020). Riesz basisness of root functions of a sturm–liouville operator with conjugate conditions. Lobachevskii Journal of Mathematics.41(1). | en_US |
| dc.identifier.doi | 10.1134/S1995080220010023 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://hdl.handle.net/11494/2047 | |
| dc.identifier.volume | 41 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Cabri, Olgun | |
| dc.language.iso | en | en_US |
| dc.publisher | Pleiades Publishing | en_US |
| dc.relation.ispartof | Lobachevskii Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Riesz basis | en_US |
| dc.subject | Periodic and antiperiodic boundary conditions | en_US |
| dc.subject | Sturm– Liouville operator | en_US |
| dc.title | Riesz basisness of root functions of a sturm–liouville operator with conjugate conditions | en_US |
| dc.type | Article |
