Geodesic
Reconstruction of Sturm--Liouville differential operators with singularities inside the interval
Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 143-156

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The inverse spectral problem for Sturm–Liouville differential operators on a finite interval is studied for an arbitrary and finite number of regular singular points inside the interval. A uniqueness theorem is proved; necessary and sufficient conditions and a procedure for the solution of the inverse problem are obtained. 
@article{MZM_1998_64_1_a14,
     author = {V. A. Yurko},
     title = {Reconstruction of {Sturm--Liouville} differential operators with singularities inside the interval},
     journal = {Matemati\v{c}eskie zametki},
     pages = {143--156},
     publisher = {mathdoc},
     volume = {64},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a14/}
}
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V. A. Yurko. Reconstruction of Sturm--Liouville differential operators with singularities inside the interval. Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 143-156. http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a14/