Geodesic
Inverse Problem for Sturm--Liouville Operators on Hedgehog-Type Graphs
Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 459-471

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We study the inverse spectral problem for Sturm–Liouville differential operators on hedgehog-type graphs with a cycle and with standard sewing conditions at interior vertices. We prove a uniqueness theorem and obtain a constructive solution for this class of inverse problems.
Keywords: Sturm–Liouville differential operator, inverse spectral problem, hedgehog-type graph, Weyl function, boundary-value problem. 
@article{MZM_2011_89_3_a12,
     author = {V. A. Yurko},
     title = {Inverse {Problem} for {Sturm--Liouville} {Operators} on {Hedgehog-Type} {Graphs}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {459--471},
     publisher = {mathdoc},
     volume = {89},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_3_a12/}
}
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V. A. Yurko. Inverse Problem for Sturm--Liouville Operators on Hedgehog-Type Graphs. Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 459-471. http://geodesic.mathdoc.fr/item/MZM_2011_89_3_a12/