Document Type : Research Articles


1 Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey

2 Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey


In this work, we study some spectral properties of one dimensional Dirac system, such as formally self-adjointness, orthogonality of eigenfunctions, Green's function, existence of a countable sequence of eigenvalues. Later, we give an expansion formula in eigenfunctions for Dirac operator on time scales. These results will provide an important contribution to the spectral theory of such operators on time scales.