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

Yurko, V.

doi:10.1090/S0077-1554-2014-00228-4

Inverse Problem for Differential Operators on Spatial Networks with Different Orders on Different Edges
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by V. Yurko
Translated by: the author

Trans. Moscow Math. Soc. 2014, 103-114

DOI: https://doi.org/10.1090/S0077-1554-2014-00228-4

Published electronically: November 4, 2014

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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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