On an inverse scattering problem for a class of Dirac operators with spectral parameter in the boundary condition
Yazarlar (2)
Prof. Dr. Aynur ÇÖL Sinop Üniversitesi, Türkiye
Kh R. Mamedov
Mersin Üniversitesi, Türkiye
Mersin Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Analysis and Applications (Q1) | ||
| Dergi ISSN | 0022-247X Dergi Bilgileri (2012) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2012 |
| Cilt / Sayı / Sayfa | 393 / 2 / 470–478 | DOI | 10.1016/j.jmaa.2012.03.009 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0022247X12002028 | ||
| UAK Araştırma Alanları |
Matematik
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| Özet |
| In this work, we consider the inverse scattering problem for a class of one dimensional Dirac operators on the semi-infinite interval with the boundary condition depending polynomially on a spectral parameter. The scattering data of the given problem is defined and its properties are examined. The main equation is derived, its solvability is proved and it is shown that the potential is uniquely recovered in terms of the scattering data. A generalization of the Marchenko method is given for a class of Dirac operator. © 2012 Elsevier Ltd. |
| Anahtar Kelimeler |
| Dirac equation system | Inverse problem | Main equation | Nonlinear parameter in the boundary condition | Scattering data | Uniqueness |
Science Direct
On an inverse scattering problem for a class of Dirac operators with spectral parameter in the boundary condition
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 10 |
| Scopus | 9 |