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Eurasian Mathematical Journal, 2014, Volume 5, Number 4, Pages 56–69
(Mi emj174)
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Recovering Sturm–Liouville operators on hedgehog-type graphs with general matching conditions
G. Freilinga, V. Yurkob a Faculty of Mathematics, University Duisburg-Essen, Forsthausweg 2, D-47057, Duisburg, Germany
b Department of Mathematics, Saratov University, Astrakhanskaya 83, Saratov 410012, Russia
Abstract:
We study boundary value problems on hedgehog-type graphs for secondorder ordinary differential equations with general matching conditions. We establish properties of spectral characteristics and investigate the inverse spectral problem of recovering the coefficients of a differential equation from the spectral data. For this inverse problem we prove a uniqueness theorem and provide a procedure for constructing its solution.
Keywords and phrases:
hedgehog-type graphs, differential operators, inverse spectral problems.
Received: 03.01.2014
Citation:
G. Freiling, V. Yurko, “Recovering Sturm–Liouville operators on hedgehog-type graphs with general matching conditions”, Eurasian Math. J., 5:4 (2014), 56–69
Linking options:
https://www.mathnet.ru/eng/emj174 https://www.mathnet.ru/eng/emj/v5/i4/p56
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Abstract page: | 247 | Full-text PDF : | 90 | References: | 50 |
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