On an inverse problem for a class Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition
Yükleniyor...
Dosyalar
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Applied Mathematical Sciences
Erişim Hakkı
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.
Açıklama
Anahtar Kelimeler
Dirac operator, Scattering function, Main equation, Levinson formula
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Mamedov, Kh. R. ; Çöl, Aynur "On an inverse problem for a class Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition" Applied Mathematical Sciences, 4 (2010), no.26, 1273-1287
