An inverse problem for the diffusion operator on a finite interval with discontinuities conditions inside the interval is studied. We have shown that the potential function of the diffusion operator can be established uniquely by a set of values of eigenfunctions at the midpoint of the interval and one spectrum.
"An Interior Inverse Problem for the Diffusion Operator." Abstr. Appl. Anal. 2013 (SI05) 1 - 6, 2013. https://doi.org/10.1155/2013/320456