Work

Inverse Sturm-Liouville problem of recovering coefficients in boundary conditions

Year: 2025

Type: article

Abstract: The spectral Sturm-Liouville problem on an equilateral star graph of three edges with the standard conditions at the interior vertex and the Robin conditions at the pendant vertices is considered. It is shown that under the conditions of zero potentials on the edges the asymptotics of the eigenvalues determine the shape of the graph and the constants in the Roben conditions. This method can be applied for the case of more complicated equilateral simple connected graphs.

Source: Proceedings of the International Geometry Center

DOI: 10.15673/pigc.v18i2.3008

Authors: Alesia Supranovych, Vyacheslav Pivovarchik

Institution: State institution "South Ukrainian National Pedagogical University named after K. D. Ushynsky"

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7083436009

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Cites: 10

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