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.

引用

页码：521 / 533

页数：13

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