  In this paper, half inverse spectral problem for diffusion operator with jump
conditions dependent on the spectral parameter and discontinuoty coeffcient is
considered. The half inverse problems is studied of determining the coeffcient
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 spectrum.
