On minimum number of distinct eigenvalues for a Stieltjes string problem on a tree

  Spectral problems are considered related to small vibrations of a tree of Stieltjes strings. It is shown that the minimum number of distinct eigenvalues of such a problem equals the maximal length (measured in number of point masses) of paths in the tree.    ...

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Datum:2020
Hauptverfasser: Pivovarchik, V. M., Пивоварчик, В. Н., Пивоварчик, В. М.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/959
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:  Spectral problems are considered related to small vibrations of a tree of Stieltjes strings. It is shown that the minimum number of distinct eigenvalues of such a problem equals the maximal length (measured in number of point masses) of paths in the tree.