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

• Date: 2020
• Main Authors: Pivovarchik, V. M., Пивоварчик, В. Н., Пивоварчик, В. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/959
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

  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.    ...