ON THE RELATIONSHIP BETWEEN THE MULTIPLICITIES OF EIGENVALUES IN FINITE-AND INFINITE-DIMENSIONAL PROBLEMS ON GRAPHS

被引：0
|
作者：
Boyko, O. P. [1 ]
Martynyuk, O. M. [1 ]
Pivovarchik, V. M. [1 ]
机构：
[1] Ushynskyi Natl South Ukrainian Pedag Univ, Odessa, Ukraine
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2017年 / 69卷 / 04期
关键词：
INVERSE SPECTRAL PROBLEM; STAR GRAPH; MATRIX;
D O I：
10.1007/s11253-017-1379-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 multiplicities of the normal eigenvalues (bound states) of the Sturm-Liouville operator on a star graph.
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页码：521 / 533
页数：13
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