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On the Minimum Number of Distinct Eigenvalues in the Problem for a Tree Formed by Stieltjes Strings
Ukrainian Mathematical Journal ( IF 0.5 ) Pub Date : 2020-06-01 , DOI: 10.1007/s11253-020-01768-z
V. N. Pivovarchik

We consider spectral problems related to small vibrations of a tree formed by Stieltjes strings. It is shown that the minimum number of distinct eigenvalues of this problem is equal to the maximum length (measured as the number of point masses) of paths in this tree.

中文翻译:

关于 Stieltjes 弦构成的树问题中不同特征值的最小个数

我们考虑与 Stieltjes 弦形成的树的小振动相关的谱问题。结果表明,该问题的不同特征值的最小数量等于该树中路径的最大长度(以点质量数衡量)。
更新日期:2020-06-01
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