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- Title
ON MULTIPLICITIES OF EIGENVALUES OF A SPECTRAL PROBLEM ON A PROLATE TREE.
- Authors
PIVOVARCHIK, VYACHESLAV; GUANGSHENG WEI; LU YANG
- Abstract
It is known that there exists an ordered vector majorizing any ordered vector of possible multiplicities of eigenvalues of the star-patterned matrix. The same situation occurs in the problem of small transverse vibrations of a star graph of Stieltjes strings. We show that for a certain class of prolate trees of Stieltjes strings there exists an ordered vector majorizing any ordered vectors of possible eigenvalue multiplicities of spectral problems on such trees.
- Subjects
BOUNDARY value problems; DIRICHLET problem; DIRICHLET series; STAR graphs (Graph theory); STIELTJES integrals; EIGENVALUES; OPERATOR theory
- Publication
Operators & Matrices, 2022, Vol 16, Issue 3, p685
- ISSN
1846-3886
- Publication type
Article
- DOI
10.7153/oam-2022-16-50