Operator-Pencil Realization of one Sturm-Liouville Problem with Transmission Conditions
Yazarlar (4)
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Doç. Dr. Hayati OLĞAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Amasya Üniversitesi, Türkiye
Ganja State University, Azerbaycan
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Applied and Computational Mathematics |
| Dergi ISSN | 1683-3511 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 10-2018 |
| Cilt No | 17 |
| Sayı | 3 |
| Sayfalar | 284 / 294 |
| Makale Linki | http://acmij.az/view.php?lang=azmenu=8 |
| Özet |
| We consider a class of boundary value problems on two disjoint intervals for SturmLiouville equation together with supplementary transmission conditions at the point of interaction. The spectral parameter λ appears not only in the Sturm-Liouville equation but also in the boundary conditions. We construct an operator-pencil formulation of these boundary value problems and investigate their spectral properties. In particular we define the generalized eigenfunctions and establish that the spectrum of the considered problem is discrete and the set of generalized eigenfunctions form a basis of the corresponding Hilbert space. |
| Anahtar Kelimeler |
| Boundary and Transmission Conditions | Eigenfunctions | Operator-Pencil | Riesz Basis | Spectrum | Sturm-Liouville Problems |
