The uniqueness theorem for differential pencils with the jump condition in the finite interval

Document Type: Regular Paper


1 Department of Mathematics, University of Mazandaran, Babolsar, Iran

2 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.