University of Tabriz Computational Methods for Differential Equations 2345-3982 10 2 2022 04 01 The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions 519 525 12512 10.22034/cmde.2021.34215.1567 EN Yasser Khalili Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, 578 Sari, Iran. Mohsen Khaleghi Moghadam Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, 578 Sari, Iran. Journal Article 2019 06 24 In this study, we discuss the inverse problem for the Sturm-Liouville operator with the impulse and with the spectral boundary conditions on the finite interval (0, π). By taking the Mochizuki-Trooshin’s method, we have shown that some information of eigenfunctions at some interior point and parts of two spectra can uniquely determine the potential function q(x) and the boundary conditions. . Inverse problem Sturm-Liouville operator with the impulse Spectral boundary condition Spectrum https://cmde.tabrizu.ac.ir/article_12512_e3229972f960011cca2d9282270e602f.pdf