Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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On inverse problem for tree of Stieltjes strings

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Анастасія Ігорівна Дудко
Vyacheslav Pivovarchik

Abstract

For a given metric tree and two strictly interlacing sequences of numbers there exits a distribution of point masses on the edges (which are Stieltjes strings) such that one of the sequences is the spectrum of the   spectral problem  with the Neumann condition at the root of the tree while the second sequence is the spectrum of the   spectral problem with the Dirichlet condition at the root.

Keywords:
Neumann boundary condition, Dirichlet boundary condition, balance of forces condition, eigenvalues, spectrum, Stieltjes function.

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How to Cite
Дудко, А., & Pivovarchik, V. (2021). On inverse problem for tree of Stieltjes strings. Proceedings of the International Geometry Center, 14(1), 1-18. https://doi.org/10.15673/tmgc.v14i1.1783
Section
Papers
Author Biographies

Анастасія Ігорівна Дудко, South Ukrainian National Pedagogical University named after K. D. Ushynsky

South Ukrainian National Pedagogical University named after K. D. Ushynsky

 

Vyacheslav Pivovarchik, South Ukrainian National Pedagogical University named after K. D. Ushynsky

South Ukrainian National Pedagogical University named after K. D. Ushynsky