On an inverse scattering problem for a class of Dirac operators with spectral parameter in the boundary condition
Yükleniyor...
Dosyalar
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Press Inc Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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.
Açıklama
Anahtar Kelimeler
Scatteringdata, Mainequation, Dirac equation system, Inverse problem, Nonlinear parameter in the boundary condition, Uniqueness
Kaynak
Journal of Mathematical Analysis and Applications
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
393
Sayı
2
Künye
Çöl, A., & Mamedov, K. R. (2012). On an inverse scattering problem for a class of Dirac operators with spectral parameter in the boundary condition. Journal of Mathematical Analysis and Applications, 393(2), 470-478.
