Khalili, YasserKadkhoda, NematollahBaleanu, Dumitru2020-01-312020-01-312019Khalili, 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).1741-5977http://hdl.handle.net/20.500.12416/2394The 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 OperatorDiscontinuityArticle27101442145010.1080/17415977.2018.1559842