Inverse nodal problems for differential operators on graphs with a cycle

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Published: Mar 31, 2010
DOI: https://doi.org/10.5556/j.tkjm.41.2010.634

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G. Freiling
V. A. Yurko

Abstract

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

Article Details

How to Cite
Freiling, G., & Yurko, V. A. (2010). Inverse nodal problems for differential operators on graphs with a cycle. Tamkang Journal of Mathematics, 41(1), 15–24. https://doi.org/10.5556/j.tkjm.41.2010.634
Issue
Vol. 41 No. 1 (2010)
Section
Papers
Author Biographies

G. Freiling

Department of Mathematics, Duisburg-Essen University, Campus Duisburg, Forsthausweg 2, D-47057, Duisburg, Germany.

V. A. Yurko

Department of Mathematics, Saratov University, Astrakhanskaya 83, Saratov 410026, Russia.