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- Title
On the Relationship Between the Multiplicities of Eigenvalues in Finite- and Infinite-Dimensional Problems on Graphs.
- Authors
Boyko, O.; Martynyuk, O.; Pivovarchik, V.
- Abstract
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.
- Subjects
EIGENVALUES; STAR graphs (Graph theory); MULTIPLICITY (Mathematics); MATRICES (Mathematics); STURM-Liouville equation; OPERATOR theory
- Publication
Ukrainian Mathematical Journal, 2017, Vol 69, Issue 4, p521
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-017-1379-6