TY - JOUR ID - 17973 TI - Inverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Shahriari, Mohammad AD - Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran. Y1 - 2016 PY - 2016 VL - 03 IS - 2 SP - 75 EP - 89 KW - Inverse Sturm-Liouville problem KW - Jump conditions KW - Non self-adjoint operator KW - Parameter dependent condition DO - N2 - In 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. UR - https://scma.maragheh.ac.ir/article_17973.html L1 - https://scma.maragheh.ac.ir/article_17973_6df44ee2ee8037955d17cb29c9f1d581.pdf ER -