Yazarlar |
Yelda Aygar Küçükevcilioğlu
Ankara Üniversitesi, Türkiye |
Prof. Dr. Turhan KÖPRÜBAŞI
Kastamonu Üniversitesi, Türkiye |
Özet |
This paper is concerned with a boundary value problem (BVP) for discrete Sturm-Liouville equation with point interaction and boundary conditions depending on a hyperbolic eigenvalue parameter. This paper presents some spectral and scattering properties of this BVP in terms of Jost solution, scattering solutions, scattering function, continuous and discrete spectrum. In addition, the resolvent operator of the BVP is obtained to get the properties of eigenvalues. Furthermore, an example is considered as a special case of the main problem to demonstrate the effectiveness of our results. |
Anahtar Kelimeler |
Eigenvalue | Point interaction | Resolvent operator | Scattering function | Scattering solution |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | FILOMAT |
Dergi ISSN | 0354-5180 |
Dergi Tarandığı Indeksler | SCI-Expanded |
Dergi Grubu | Q2 |
Makale Dili | İngilizce |
Basım Tarihi | 01-2022 |
Cilt No | 36 |
Sayı | 18 |
Sayfalar | 6279 / 6288 |
Doi Numarası | 10.2298/FIL2218279A |
Makale Linki | http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/17539 |