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A Discrete Boundary Value Problem with Point Interaction     
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 2406-0933
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 12-2022
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