Document Type: Regular Paper
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
The purpose of this paper is to investigate the inverse problem for a second order differential equation the socalled
differential pencil on the finite interval
0,1 when the solutions are not smooth. We establish properties of
the spectral characteristics, derive the Weyl function and prove the uniqueness theorem for this inverse problem.