Half inverse problem for diffusion operators with jump conditions dependent on the spectral parameter
Abstract
In this paper, half inverse problem for diffusion operators
with jump conditions dependent on the spectral parameter
is considered. The half inverse problems is studied of determining the coefficient and potential functions of the value
problem from its spectrum by using the Yang–Zettl and
Hocstadt–Lieberman methods. We show that if the functions p(x) and q(x) are prescribed over the semi-interval,
then potential functions are determined uniquely by one
spectrum on the over interval.