The weak eigenfunctions of boundary-value problem with symmetric discontinuities
Yazarlar (4)
Doç. Dr. Hayati OLĞAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Azerbaijan National Academy Of Sciences, Azerbaycan
Amasya Üniversitesi, Türkiye
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayınlanan tam makale |
| Dergi Adı | Journal of Applied Analysis |
| Dergi ISSN | 1425-6908 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | ESCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2022 |
| Cilt No | 28 |
| Sayı | 2 |
| Sayfalar | 275 / 283 |
| DOI Numarası | 10.1515/jaa-2021-2079 |
| Makale Linki | https://www.degruyter.com/document/doi/10.1515/jaa-2021-2079/html |
| Özet |
| The main goal of this study is the investigation of discontinuous boundary-value problems for second-order differential operators with symmetric transmission conditions. We introduce the new notion of weak functions for such type of discontinuous boundary-value problems and develop an operator-theoretic method for the investigation of the spectrum and completeness property of the weak eigenfunction systems. In particular, we define some self-adjoint compact operators in suitable Sobolev spaces such that the considered problem can be reduced to an operator-pencil equation. The main result of this paper is that the spectrum is discrete and the set of eigenfunctions forms a Riesz basis of the suitable Hilbert space. |
| Anahtar Kelimeler |
| Boundary value problems | completeness | eigenvalue | Riesz basis | transmission conditions | weak eigenfunctions |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 4 |
| SCOPUS | 4 |
| Google Scholar | 7 |