On an inverse problem for a class of Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition
Yazarlar (2)
Kh R. Mamedov
Mersin Üniversitesi, Türkiye
Mersin Üniversitesi, Türkiye
Prof. Dr. Aynur ÇÖL Mersin Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Applied Mathematical Sciences | ||
| Dergi ISSN | 1312-885X Dergi Bilgileri (2010) | ||
| Dergi Tarandığı Indeksler | Zentralblatt MATH | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2010 |
| Cilt / Sayı / Sayfa | 4 / 25 / 1273–1287 | DOI | – |
| Makale Linki | https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=2b7d51cec5f7da1e95a355a0c530929f37c1ea95 | ||
| UAK Araştırma Alanları |
Matematik
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| Özet |
| In this paper, it is examined on the half line the inverse problem of scattering theory for a class Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition. The scattering function is defined as scattering data and its properties are investigated. It is obtained Gelfand-Levitan-Marchenko type main equation which plays an important role in the solution of inverse problem and it is shown the uniqueness of the solution of the inverse problem by using Fredholm alternative. |
| Anahtar Kelimeler |
| Dirac operator | Levinson formula | Main equation | Scattering function |
