Operator-pencil treatment of multi-interval Sturm-Liouville equation with boundary-transmission conditions
Yazarlar (3)
Doç. Dr. Hayati OLĞAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Azerbaijan National Academy Of Sciences, Azerbaycan
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
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| Makale Alt Türü | ESCI dergilerinde yayınlanan tam makale |
| Dergi Adı | Bulletin of the Karaganda University Mathematics Series |
| Dergi ISSN | 2518-7929 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | Emerging Sources Citation Index |
| Makale Dili | Türkçe |
| Basım Tarihi | 09-2024 |
| Cilt No | 115 |
| Sayı | 3 |
| Sayfalar | 126 / 136 |
| DOI Numarası | 10.31489/2024m3/126-136 |
| Makale Linki | https://doi.org/10.31489/2024m3/126-136 |
| Özet |
| This paper is devoted to a new type of boundary-value problems for Sturm-Liouville equations defined on three disjoint intervals (−π,−π + d),(−π + d,π − d) and (π − d,π) together with eigenparameter dependent boundary conditions and with additional transmission conditions specified at the common end points −π + d and π − d, where 0 < d < π. The considered problem cannot be treated by known techniques within the usual framework of classical Sturm-Liouville theory. To establish some important spectral characteristics we introduced the polynomial-operator formulation of the problem. Moreover, we develop a new modification of the Rayleigh method to obtain lower bound of eigenvalues. |
| Anahtar Kelimeler |
| boundary-value-transmission problems | eigenvalues | generalized eigenfunctions | lower bound estimation | Rayleigh’s method | transmission conditions |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 1 |
| Google Scholar | 1 |