Discontinuous Sturm–Liouville Problems with Eigenparameter-Dependent Boundary and Transmissions Conditions
Yazarlar (3)
Prof. Dr. Zülfigar AKDOĞAN
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Acta Applicandae Mathematicae |
| Dergi ISSN | 0167-8019 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | SCI |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 05-2005 |
| Cilt No | 86 |
| Sayı | 3 |
| Sayfalar | 329 / 344 |
| DOI Numarası | 10.1007/s10440-004-7466-3 |
| Makale Linki | http://link.springer.com/10.1007/s10440-004-7466-3 |
| Özet |
| The purpose of this paper is to study a Sturm-Liouville problem with discontinuities in the case when an eigenparameter appears not only in the differential equation but it also appears in both the boundary and transmission conditions. We suggest a new approach for the definition of a suitable Hilbert space and a symmetric linear operator defined in this space in such a way that the considered problem can be interpreted as the eigenvalue problem of this operator and for construction and approximation of a fundamental solution. We apply these results to find asymptotic formulas of eigenvalues and corresponding eigenfunctions. © Springer 2005. |
| Anahtar Kelimeler |
| Discontinuous Sturm-Liouville problems | Eigenfunctions | Eigenparameter-dependent boundary conditions | Eigenvalues | Transmission conditions |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| SCOPUS | 32 |
| Google Scholar | 48 |