On Barcilon’s formula for Krein’s string

Authors

  • I. S. Kac </span>Odessa National Academy of Food Technologies, 112 Kanatnaya, Odessa, 65039, Ukraine
  • V. N. Pivovarchik </span>South Ukrainian National Pedagogical University, 26 Staroportofrankovskaya, Odessa, 65020, Ukraine&nbsp;

DOI:

Keywords:

Coefficient of dynamic compliance, density, eigenvalues, spectral function, S-function, regular string

Abstract

We find conditions on two sequences of positive numbers that are sufficient for the sequences to be the Neumann and the Dirichlet spectra of a Krein string such that Barcilon’s formula holds true.

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Published

2017-09-25

Issue

Vol. 23 No. 3 (2017)

Section

Articles

How to Cite

Kac, I. S., and V. N. Pivovarchik. “On Barcilon’s Formula for Krein’s String”. Methods of Functional Analysis and Topology, vol. 23, no. 3, Sept. 2017, pp. 270-6, https://zen.imath.kiev.ua/index.php/mfat/article/view/670.