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Transactions of the Moscow Mathematical Society

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Inverse Problem for Differential Operators on Spatial Networks with Different Orders on Different Edges


Author: V. Yurko
Translated by: the author
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 75 (2014), vypusk 2.
Journal: Trans. Moscow Math. Soc. 2014, 103-114
MSC (2010): Primary 34A55, 34L05, 47E05
DOI: https://doi.org/10.1090/S0077-1554-2014-00228-4
Published electronically: November 4, 2014
MathSciNet review: 3308604
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Abstract: We study the inverse problem of recovering differential operators from spectra on compact star-type graphs when differential equations have different orders on different edges. We provide a procedure for constructing the solution of the inverse problem and prove its uniqueness.


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Additional Information

V. Yurko
Affiliation: Saratov State University
Email: yurkova@info.sgu.ru

DOI: https://doi.org/10.1090/S0077-1554-2014-00228-4
Keywords: Geometrical graphs, differential operators, inverse spectral problems
Published electronically: November 4, 2014
Article copyright: © Copyright 2014 American Mathematical Society