On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition
Yükleniyor...
Dosyalar
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
On the positive semi-infinite interval, we obtained a generalization of the Marchenko method for a Dirac equation system with a discontinuous coefficient and a quadratic polynomial on a spectral parameter in the boundary condition. In this connection, we use an new integral representation of the Jost solution of equation systems, which does not have a triangular form. The scattering function of the problem is defined, and its properties are examined. The Marchenko-type main equation is obtained, and it is shown that the potential is uniquely recovered in terms the scattering function.
Açıklama
Anahtar Kelimeler
Scattering function, Marchenko-type equation, Dirac equation system, Discontinuous coefficient, Nonlinear spectralparameter
Kaynak
Mathematical Methods in the Applied Sciences
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
35
Sayı
14
Künye
Mamedov, K. R., & Çöl, A. (2012). On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition. Mathematical Methods in the Applied Sciences, 35(14), 1712-1720.
