Spectral singularities of an impulsive Sturm-Liouville operators

In this paper, we handle an impulsive Sturm–Liouville equation with complex potential on the semi axis. The objective of work is to examine some spectral properties equation. By help a transfer matrix B, obtain Jost solution problem. Furthermore, using solution, find Green function and resolvent operator Finally, consider two unperturbated operators. We eigenvalues singularities these problems.