An inverse scattering problem for eigenparameter-dependent discrete Dirac system with Levinson formula
Yazarlar (2)
Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye
R. N. Mohapatra University Of Central Florida, Amerika Birleşik Devletleri
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Complex Variables and Elliptic Equations (Q3) | ||
| Dergi ISSN | 1747-6933 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2024 |
| Cilt / Sayı / Sayfa | 69 / 4 / 695–711 | DOI | 10.1080/17476933.2022.2159951 |
| Makale Linki | https://doi.org/10.1080/17476933.2022.2159951 | ||
| Özet |
| In this paper, we have considered an inverse scattering problem for discrete Dirac operator L with eigenparameter dependent boundary condition. At the outset, the Jost solution and the Jost function of L are given. Then the zeros of the Jost function and some properties of the scattering function are examined. After finding the scattering dataset and the main equation for the operator L, the uniqueness of the kernel, continuity of the scattering function and the appropriate Levinson type formula are obtained. |
| Anahtar Kelimeler |
| 34L25 | 34L40 | 39A70 | 47A40 | 81U40 | Discrete Dirac equation | eigenparameter | Levinson formula | scattering function |