Inverse scattering problem with Levinson formula for eigenparameter‐dependent discrete Sturm–Liouville equation
Yazarlar (2)
Ram N Mohapatra
University Of Central Florida, Amerika Birleşik Devletleri
Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Mathematical Methods in the Applied Sciences (Q1)
Dergi ISSN 0170-4214 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 08-2022
Cilt / Sayı / Sayfa 46 / 2 / 1466–1478 DOI 10.1002/mma.8590
Makale Linki http://dx.doi.org/10.1002/mma.8590
Özet
In this paper, an inverse scattering problem for discrete Sturm–Liouville equation with eigenparameter-dependent boundary condition is investigated. In quest of finding scattering function and the main equation of this problem, the uniqueness of the kernel is proven. Also, an appropriate Levinson-type formula based on the continuity of scattering function is given.
Anahtar Kelimeler
discrete equation | eigenparameter | Levinson formula | scattering function | Sturm–Liouville problem