Geodesic
Recovering Sturm-Liouville operators from spectra on a~graph with a~cycle
Sbornik. Mathematics, Tome 200 (2009) no. 9, pp. 1403-1415

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An inverse problem of spectral analysis is studied for Sturm-Liouville differential operators on a graph with a cycle and with generalized matching conditions at the internal vertex. Theorems on the unique recovery of operators from a system of spectra are proved, and a constructive solution is obtained for this class of inverse problems. Bibliography: 26 titles.
Keywords: inverse problems, problems with cycles. 
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     author = {V. A. Yurko},
     title = {Recovering {Sturm-Liouville} operators from spectra on a~graph with a~cycle},
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     url = {http://geodesic.mathdoc.fr/item/SM_2009_200_9_a5/}
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V. A. Yurko. Recovering Sturm-Liouville operators from spectra on a~graph with a~cycle. Sbornik. Mathematics, Tome 200 (2009) no. 9, pp. 1403-1415. http://geodesic.mathdoc.fr/item/SM_2009_200_9_a5/