2017
Том 69
№ 6

All Issues

On the relationship between the multiplicities of eigenvalues in finite- and infinite-dimensional problems on graphs

Boyko O. P., Martinyuk O. M., Pivovarchik V. N.


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 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.