In this paper, half inverse spectral problem for diffusion operator with jump conditions
dependent on the spectral parameter and discontinuity coefficient is considered. The half inverse
problems is studied of determining the coefficient and two potential functions of the boundary
value problem its spectrum by Hocstadt-Lieberman and Yang-Zettl methods. We show that two
potential functions on the whole interval and the parameters in the boundary and jump conditions
can be determined from the spectrum.