Eigenvalue Problems with Interface Conditions
Yazarlar (3)
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Doç. Dr. Hayati OLĞAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Amasya Üniversitesi, Türkiye
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayınlanan tam makale |
| Dergi Adı | Konuralp Journal of Mathematics |
| Dergi ISSN | 2147-625X Scopus Dergi |
| Dergi Tarandığı Indeksler | MathSciNet (Mathematical Reviews), Zentralblatt fur Mathematik (Germany) , Global Impact Factor, Index Copernicus, Assos Index |
| Makale Dili | İngilizce |
| Basım Tarihi | 10-2020 |
| Cilt No | 8 |
| Sayı | 2 |
| Sayfalar | 284 / 286 |
| Makale Linki | https://dergipark.org.tr/en/pub/konuralpjournalmath/issue/31495/605400 |
| Özet |
| Sturm-Liouville type boundary value problems arise a result of using the Fourier’s method of separation of variables to solve the classical partial differential equations of mathematical physics, such as the Laplace’s equation, the heat equation and the wave equation. A large class of physical problems require the investigation of the Sturm-Liouville type problems with the eigen-parameter in the boundary conditions. Also, many physical processes, such as the vibration of loaded strings, the interaction of atomic particles, electrodynamics of complex medium, aerodynamics, polymer rheology or the earth’s free oscillations yield. Sturm-Liouville eigenvalue problems (see, for example, [1, 6, 12, 13]). On the other hand, the Sturm-Liouville problems with transmission conditions (such conditions are known by various names including transmission conditions, interface conditions, jump conditions and discontinuous conditions) arise in problems of heat and mass transfer, various physical transfer problems [8], radio science [7], and geophysics [9]. In this work we shall investigate some spectral properties of a regular Sturm-Liouville problem on a finite interval with the transmission conditions at a point of interaction. We prove that the set of eigenfunctions for the problem under consideration forms a basis in the corresponding Hilbert space. |
| Anahtar Kelimeler |
| Sturm-Liouville type boundary value problems | transmission conditions |
