Geodesic
Solution of a model inverse spectral problem for the Sturm--Liouville operator on a graph
Numerical methods and programming, Tome 17 (2016) no. 3, pp. 204-211

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A model inverse spectral problem for the Sturm–Liouville operator on a geometric graph is studied. This problem consists in finding $N$ parameters of the boundary conditions using its $N$ known eigenvalues. It is shown that the problem under consideration possess the property of a monotonic dependence of its eigenvalues on the parameters of the boundary conditions. This problem is reduced to a multiparameter inverse spectral problem for the operator in a finite-dimensional space. A new algorithm for the numerical solution of this problem is proposed.
Keywords: spectral theory of differential operators, geometric graph, Sturm–Liouville operator, spectral problems. 
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     title = {Solution of a model inverse spectral problem for the {Sturm--Liouville} operator on a graph},
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     pages = {204--211},
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     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2016_17_3_a1/}
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N. F. Valeev; Yu. V. Martynova; Ya. T. Sultanaev. Solution of a model inverse spectral problem for the Sturm--Liouville operator on a graph. Numerical methods and programming, Tome 17 (2016) no. 3, pp. 204-211. http://geodesic.mathdoc.fr/item/VMP_2016_17_3_a1/