Kadkhoda, NematollahBaleanu, DumitruKhalili, Yasser2020-01-312025-09-182020-01-312025-09-182019Khalili, Yasser; Kadkhoda, Nematollah; Baleanu, Dumitru, "Inverse problems for the impulsive Sturm-Liouville operator with jump conditions", Inverse Problems in Science and Engineering, Vol. 27, No. 10, pp. 1442-1450, (2019).1741-59771741-5985https://doi.org/10.1080/17415977.2018.1559842https://hdl.handle.net/20.500.12416/11306Khalili, Yasser/0000-0002-1402-8667The inverse problem for impulsive Sturm-Liouville operators with discontinuity conditions is considered. We have shown that all parameters used in the boundary conditions as well as can be uniquely established by a set of values of eigenfunctions at the mid-point and one spectrum. Moreover, we discuss Gesztesy-Simon theorem and show that if the potential function is prescribed on the interval for some , then parts of a finite number of spectra suffice to determine on .eninfo:eu-repo/semantics/closedAccessInverse ProblemImpulsive Sturm-Liouville OperatorDiscontinuityArticle10.1080/17415977.2018.15598422-s2.0-85059000905