Spectral Properties For Dirac Operator With Transmission Conditions

In this paper,a discontinuous Dirac operator with eigenparameter dependent boundary conditions and transmission conditions is considered.A new operator associated with the problem is constructed,the self-adjointness of the operator in an appropriate Hilbert space is proved,the fundamental solutions are constructed,some properties of the eigenvalues and corresponding eigenfunctions are investigated,Green function and the resolvent operator are also involved.