Geodesic
The inverse problem for differential operators of second order with regular boundary conditions
Matematičeskie zametki, Tome 18 (1975) no. 4, pp. 569-576.

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This paper is devoted to the proof of the unique solvability of the inverse problem for second-order differential operators with arbitrary regular nonseparable boundary conditions. It is shown that the operator can be recovered from three of its spectra. As a special case, the well-known reconstruction of the Sturm–Liouville operator is accomplished. 
@article{MZM_1975_18_4_a9,
     author = {V. A. Yurko},
     title = {The inverse problem for differential operators of second order with regular boundary conditions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {569--576},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_4_a9/}
}
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V. A. Yurko. The inverse problem for differential operators of second order with regular boundary conditions. Matematičeskie zametki, Tome 18 (1975) no. 4, pp. 569-576. http://geodesic.mathdoc.fr/item/MZM_1975_18_4_a9/