Yazar "Mamedov, Kh. R." seçeneğine göre listele

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    On an inverse problem for a class Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition
    (Applied Mathematical Sciences, 2010) Mamedov, Kh. R.; Çöl, Aynur
    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.
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    On the expansion formula for a class of Dirac operator with discontinuous coefficient
    (International Journal of Computational Cognition, 2009) Mamedov, Kh. R.; Çöl, Aynur
    In this paper we consider a first order differential equation system with a discontinuous coefficient and spectral parameter dependent boundary condition in the half line. The operator interpretation of the given boundary value problem is investigated in the Hilbert space H = L2;½ ¡ 0;1;C2¢ £ C. The resolvent operator is constructed and the expansion formula with respect to eigenfunctions is obtained
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    On the inverse problem of the scattering theory for a class of systems of Dirac equations with discontinuous coefficient
    (European Journal of Pure Applied Mathematics, 2008) Mamedov, Kh. R.; Çöl, Aynur
    In this paper it is devoted to study the inverse scattering problem for a singular boundary value problem of generalized form of system Dirac type. The new representation for the solutions of the differential equations system is considered, the scattering function is defined and its properties are given. The main equation is obtained for the solution of the inverse problem and it is shown the uniqueness of the solution of the inverse problem of scattering theory on the half line