On the relationship between the multiplicities of eigenvalues in finite- and infinite-dimensional problems on graphs

It is shown that some results concerning the multiplicities of eigenvalues of the spectral problem that describes small transverse vibrations of a star graph of Stieltjes strings and the multiplicities of the eigenvalues of tree-patterned matrices can be used for the description of possible multipli...

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Bibliographic Details
Date:2017
Main Authors: Boyko, O. P., Martinyuk, O. M., Pivovarchik, V. N., Бойко, О. П., Мартинюк, О. М., Пивоварчик, В. Н.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1708
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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