Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Yurko V. A. On an inverse problem for differential operators on hedgehog-type graphs. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 1, pp. 65-72. DOI: 10.18500/1816-9791-2014-14-1-65-72, EDN: SCSSSF

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.03.2014
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Language: 
Russian
Heading: 
Mathematics
UDC: 
517.984
DOI: 
10.18500/1816-9791-2014-14-1-65-72
EDN: 
SCSSSF

On an inverse problem for differential operators on hedgehog-type graphs

Autors: 
Yurko Vyacheslav Anatol'evich, Saratov State University
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
References: 
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Received: 
03.09.2013
Accepted: 
08.01.2014
Published: 
28.02.2014
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