On the 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, K. R. | |
| dc.date.accessioned | 2020-12-24T09:03:31Z | |
| dc.date.available | 2020-12-24T09:03:31Z | |
| dc.date.issued | 2020 | |
| dc.department | AÇÜ, Hopa İktisadi ve İdari Bilimler Fakültesi | en_US |
| dc.description.abstract | This paper aims to prove the 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. It is assumed that the potentials of differential operator are complex valued and continuously differentiable functions and both conjugate conditions have different finite one-sided limits at point zero. In order to prove Riesz basisness of root functions, we firstly acquire asymptotic expressions of fundamental solutions. By using these solutions in the characteristic determinant, it is obtained asymptotic formulas of eigenvalues by means of Rouche theorem. Then by the aid of asymptotic formulas of eigenfunctions,Riesz basisness is shown. it is also proved 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).On te riesz basisness of root functions of a sturm–liouville operator with conjugate conditions. Lobachevskii Journal of Mathematics, 41(9), 1784-1790. | en_US |
| dc.identifier.doi | 10.1134/S1995080220090085 | |
| dc.identifier.endpage | 1790 | en_US |
| dc.identifier.issue | 9 | en_US |
| dc.identifier.startpage | 1784 | en_US |
| dc.identifier.uri | https://hdl.handle.net/11494/2495 | |
| dc.identifier.volume | 41 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.institutionauthor | Cabri, Olgun | |
| dc.language.iso | en | en_US |
| dc.publisher | Maik Nauka/Interperiodica/Springer | 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 | On the riesz basisness of root functions of a sturm–liouville operator with conjugate conditions | en_US |
| dc.type | Article |
