Cite this article as:
Yurko V. A. On an inverse problem for differential operators on hedgehog-type graphs . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2014, vol. 14, iss. 1, pp. 65-72. DOI: https://doi.org/10.18500/1816-9791-2014-14-1-65-72
Language:
Russian
Heading:
UDC:
517.984
On an inverse problem for differential operators on hedgehog-type graphs
Abstract:
An inverse spectral problem is studied for Sturm–Liouville differential operators on hedgehog-type graphs with generalized matching conditions in the interior vertices and with Dirichlet boundary conditions in the boundary vertices. A uniqueness theorem of recovering potentials from given spectral characteristics is provided, and a constructive solution for the inverse problem is obtained.
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