University of MaraghehSahand Communications in Mathematical Analysis2322-580703220160601Inverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions758917973ENMohammadShahriariDepartment of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.Journal Article20150512In this manuscript, we study the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. By defining a new Hilbert space and using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at some interior point and parts of two sets of eigenvalues.https://scma.maragheh.ac.ir/article_17973_6df44ee2ee8037955d17cb29c9f1d581.pdf