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Inverse problem for Sturm-Liouville operators on hedgehog-type graphs

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Abstract

We study the inverse spectral problem for Sturm-Liouville differential operators on hedgehog-type graphs with a cycle and with standard matching conditions at interior vertices. We prove a uniqueness theorem and obtain a constructive solution for this class of inverse problems.

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Authors and Affiliations

  1. Saratov State University, Saratov, Russia

    V. A. Yurko

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  1. V. A. Yurko
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Correspondence to V. A. Yurko.

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Original Russian Text © V. A. Yurko, 2011, published in Matematicheskie Zametki, 2011, Vol. 89, No. 3, pp. 459–471.

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Yurko, V.A. Inverse problem for Sturm-Liouville operators on hedgehog-type graphs. Math Notes 89, 438–449 (2011). https://doi.org/10.1134/S000143461103014X

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  • DOI: https://doi.org/10.1134/S000143461103014X

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