Sinir şartlarinda spektral parametre bulunan dirac sistemi için çözümün varliği

In this thessis, the existence of solution and some spectral properties for a discontinuity Dirac system with spectral parameter contained in the boundary conditions are studied. First of all literature research and definition of considered problem are given in first section. In second section, focused on essential definitions, theorems and some consepts and then some spectral properties of Sturm-Liouville operators which is based on Dirac operators are given. Finaly again, in this section Dirac operators are briefly introduced. In the third section , different definition of a inner product space for the considered problem is given and then existence of solution in this space is proven. Moreover in this section the characteristic function of eigenvalues is found. In the results section subsequent researchs for the problem are given.