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Publication Date:
July 2010
ISSN:
1569-3945
DOI:
10.1515/jiip.2010.009

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Journal of Inverse and III-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Inverse spectral problems for differential operators on arbitrary compact graphs

Vjacheslav Anatoljevich Yurko1

1Department of Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410026, Russia. E-mail: yurkova@info.sgu.ru

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 3, Pages 245–261, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2010.009, July 2010

Publication History:
Received:
2009-12-07
Published Online:
2010-07-14

Abstract

Inverse problems of spectral analysis are studied for Sturm–Liouville differential operators on arbitrary compact graphs. The uniqueness of recovering operators from their spectra is proved, and a constructive procedure for the solution of this class of inverse problems is provided.

Keywords.: Sturm–Liouville operators; spatial networks; inverse spectral problems

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