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Inverse scattering problem with Levinson formula for eigenparameter‐dependent discrete Sturm–Liouville equation    
Yazarlar
Ram N Mohapatra
Kastamonu Üniversitesi
Prof. Dr. Turhan KÖPRÜBAŞI
Kastamonu Üniversitesi, Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Dergi ISSN 0170-4214
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 01-2023
Cilt No 46
Sayı 2
Sayfalar 1466 / 1478
Doi Numarası 10.1002/mma.8590
Makale Linki http://dx.doi.org/10.1002/mma.8590