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Reconstruction of Sturm-Liouville differential operators on A-graphs

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Abstract

We study the inverse problem of spectral analysis for Sturm-Liouville operators on A-graphs. We obtain a constructive procedure for solving the inverse problem of reconstruction of coefficients of differential operators from spectra and prove the uniqueness of the solution.

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Original Russian Text © V.A. Yurko, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 1, pp. 50–59.

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Yurko, V.A. Reconstruction of Sturm-Liouville differential operators on A-graphs. Diff Equat 47, 50–59 (2011). https://doi.org/10.1134/S001226611101006X

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  • DOI: https://doi.org/10.1134/S001226611101006X

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