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 normal eigenvalues (bound states) of the Sturm – Liouville
operator on a star graph.
Citation Example:Boyko O. P., Martinyuk O. M., Pivovarchik V. N. On the relationship between the multiplicities
of eigenvalues in finite- and infinite-dimensional problems on graphs // Ukr. Mat. Zh. - 2017. - 69, № 4. - pp. 445-455.