The determinants of dissipative Sturm-Liouville operators with transmission conditions

In this paper, we study the determinant of perturbation connected with the dissipative operator L generated in L2(I) by (1.1), (1.2), (1.3), (1.4), (1.5). Then using Livšic's theorem, we investigate the problem of completeness of the system of eigenfunctions and associated functions of L.