A Discrete Boundary Value Problem with Point Interaction
Yazarlar (2)
Yelda Aygar Ankara Üniversitesi, Türkiye
Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Filomat (Q2)
Dergi ISSN 0354-5180 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 12-2022
Kabul Tarihi Yayınlanma Tarihi 01-01-2022
Cilt / Sayı / Sayfa 36 / 18 / 6279–6288 DOI 10.2298/FIL2218279A
Makale Linki http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/17539
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