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JOURNALS // Eurasian Mathematical Journal // Archive

Eurasian Math. J., 2014 Volume 5, Number 4, Pages 56–69 (Mi emj174)

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.

MSC: 34A55, 34B45, 34B07, 47E05

Received: 03.01.2014

Language: English



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