II. mertebeden regüler singüleriteye sahip diferensiyel operatörler için ters (inverse) problemler
| dc.contributor.advisor | Amirov, Rauf | |
| dc.contributor.author | Gülyaz, Selma | |
| dc.date.accessioned | 2021-05-07T09:03:16Z | |
| dc.date.available | 2021-05-07T09:03:16Z | |
| dc.date.submitted | 2003 | |
| dc.date.issued | 2018-08-06 | |
| dc.identifier.uri | https://acikbilim.yok.gov.tr/handle/20.500.12812/604382 | |
| dc.description.abstract | ÖZET Doktora Tezi II. MERTEBEDEN REGÜLER SİNGÜLERİTEYE SAHİP DİFERANSİYEL OPERATÖRLER İÇİN TERS (INVERS) PROBLEMLER Selma GÜLYAZ Fen Bilimleri Enstitüsü Matematik Anabilim Dalı Danışman: Prof. Dr. Rauf AMİROV Bu çalışma II. mertebeden diferansiyel operatörlerin spektral teorisine ait tir. Sunduğumuz çalışmada II. mertebeden singüler diferansiyel operatörlerin spektral karakteristikleri araştırılmıştır. Ayrıca verilen dizilere göre singüler Sturm-Liouville operatörlerin belirlenmesi ile ilgili teoremler ispatlanmıştır. Kuantum mekaniğinde singüler potansiyelli alanda parçacıkların hareke tinin incelenmesi, Singüler Sturm-Liouville operatörlerin belirlenmesi problem lerinde önemli bir yer tutmaktadır. Anahtar Kelimeler: Operatör, Spektrum, Inverse Problem, Sturm-Liouville Operatör, İz (Trace) u | |
| dc.description.abstract | SUMMARY Ph.D Thesis INVERSE PROBLEMS FOR DIFFERENTIAL OPERATORS WHICH HAVE REGULAR SINGULARITIES OF SECOND ORDER Selma GÜLYAZ Graduate School of Natural and Applied Science of Department of Mathematics Advisor: Prof. Dr. Rauf AMTROV This study belongs to spectral theory of second order differential operators. Spectral characteristic of second order singular differential operators have been investigated. Moreover, according to given sequences, theorems which are related to determine of singular Sturm-Liouville operators have been proved. In Quantum mecanics, investigation of movement of particals in potential field is so important to determinate of singular Sturm-Liouville operators. Keywords: Operator, Spectrum, Inverse Problem, Sturm-Liouville Operator, Trace. m | en_US |
| dc.language | Turkish | |
| dc.language.iso | tr | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | Attribution 4.0 United States | tr_TR |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Matematik | tr_TR |
| dc.subject | Mathematics | en_US |
| dc.title | II. mertebeden regüler singüleriteye sahip diferensiyel operatörler için ters (inverse) problemler | |
| dc.title.alternative | Inverse problems for differential operators which have regular singularities of second order | |
| dc.type | doctoralThesis | |
| dc.date.updated | 2018-08-06 | |
| dc.contributor.department | Matematik Ana Bilim Dalı | |
| dc.identifier.yokid | 144382 | |
| dc.publisher.institute | Fen Bilimleri Enstitüsü | |
| dc.publisher.university | CUMHURİYET ÜNİVERSİTESİ | |
| dc.identifier.thesisid | 138980 | |
| dc.description.pages | 110 | |
| dc.publisher.discipline | Diğer |
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