Inverse nodal problems for Sturm–Liouville operators on star-type graphs : Journal of Inverse and Ill-posed Problems

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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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Inverse nodal problems for Sturm–Liouville operators on star-type graphs

V. Yurko1

1Department of Mathematics, Saratov State University, Astrakhanskaya st., 83, 410026 Saratov, Russia. Email:

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 16, Issue 7, Pages 715–722, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2008.044, November 2008

Publication History

Received:
2008-04-28
Published Online:
2008-11-21

Abstract

Inverse nodal problems are studied for second-order differential operators on star-type graphs with standard matching conditions in the internal vertex. Uniqueness theorems are proved, and a constructive procedure for the solution is provided.

Key words.: Sturm–Liouville operators; star-type graphs; inverse nodal problems

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