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Inverse nodal problems for the Sturm-Liouville differential operators on a star-type graph

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Abstract

We study inverse nodal problems for the second order differential operators on a star-type graph satisfying the standard matching conditions at the interior vertex. We prove uniqueness theorems and obtain a constructive solution to the inverse problems of this class.

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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 Copyright © 2009 Yurko V. A.

The author was supported by the Russian Foundation for Basic Research (Grant 07-01-00003) and the National Science Council of Taiwan (Grant 07-01-92000-NSC-a).

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Saratov. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 2, pp. 469–475, March–April, 2009.

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Yurko, V.A. Inverse nodal problems for the Sturm-Liouville differential operators on a star-type graph. Sib Math J 50, 373–378 (2009). https://doi.org/10.1007/s11202-009-0043-2

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  • DOI: https://doi.org/10.1007/s11202-009-0043-2

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