This article is cited in 8 papers

Recovering Sturm-Liouville operators from spectra on a graph with a cycle

V. A. Yurko

Saratov State University named after N. G. Chernyshevsky

Abstract: 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.

UDC: 517.984

MSC: 34A55, 34B24, 34B45

Received: 15.05.2008 and 17.04.2009

DOI: 10.4213/sm6361

 English version: Sbornik: Mathematics, 2009, 200:9, 1403–1415

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