Some Properties of Eigenvalues and Generalized Eigenvectors of One Boundary Value Problem
Yazarlar (3)
Doç. Dr. Hayati OLĞAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Amasya Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
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| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Filomat |
| Dergi ISSN | 0354-5180 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2018 |
| Cilt No | 32 |
| Sayı | 3 |
| Sayfalar | 911 / 920 |
| DOI Numarası | 10.2298/FIL1803911O |
| Makale Linki | https://doi.org/10.2298/FIL1803911O |
| Özet |
| We investigate a discontinuous boundary value problem which consists of a Sturm-Liouville equation with piecewise continuous potential together with eigenparameter dependent boundary condi- tions and supplementary transmission conditions. We establish some spectral properties of the considered problem. In particular, it is shown that the problem under consideration has precisely denumerable many eigenvalues λ1, λ2, …, which are real and tends to + ∞. Moreover, it is proven that the generalized eigenvec- tors form a Riesz basis of the adequate Hilbert space. |
| Anahtar Kelimeler |
| Boundary value problem | Eigenvalues | Generalized eigenvectors |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 21 |
| SCOPUS | 22 |
| Google Scholar | 31 |