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Mathematics
On an inverse problem for differential operators on hedgehog-type graphs
V. A. Yurko Saratov State University, 83, Astrahanskaya str., 410012, Saratov, Russia
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.
Key words:
hedgehog-type graphs, Sturm–Liouville operatos, inverse spectral problems.
Citation:
V. A. Yurko, “On an inverse problem for differential operators on hedgehog-type graphs”, Izv. Saratov Univ. Math. Mech. Inform., 14:1 (2014), 65–72
Linking options:
https://www.mathnet.ru/eng/isu487 https://www.mathnet.ru/eng/isu/v14/i1/p65
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Statistics & downloads: |
Abstract page: | 298 | Full-text PDF : | 111 | References: | 42 |
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