Discontinuous Sturm–Liouville Problems with Eigenparameter-Dependent Boundary and Transmissions Conditions
Yazarlar (3)
Prof. Dr. Zülfigar AKDOĞAN Tokat Gaziosmanpaşa Üniversitesi, Türkiye
M. Demirci
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Oktay Muhtaroğlu
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Acta Applicandae Mathematicae (Q4) | ||
| Dergi ISSN | 0167-8019 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 05-2005 |
| Cilt / Sayı / Sayfa | 86 / 3 / 329–344 | DOI | 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. |
| Anahtar Kelimeler |
| Discontinuous Sturm-Liouville problems | Eigenfunctions | Eigenparameter-dependent boundary conditions | Eigenvalues | Transmission conditions |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 47 |
| Scopus | 32 |