On Barcilon’s formula for Krein’s 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.

Key words: Coefficient of dynamic compliance, density, eigenvalues, spectral function, S-function, regular string.

Full Text

Article Information

Title	On Barcilon’s formula for Krein’s string
Source	Methods Funct. Anal. Topology, Vol. 23 (2017), no. 3, 270-276
MathSciNet	MR3707521
Milestones	Received 21.11.2016; Revised 07/05/2017
Copyright	The Author(s) 2017 (CC BY-SA)

Authors Information

I. S. Kac
Odessa National Academy of Food Technologies, 112 Kanatnaya, Odessa, 65039, Ukraine

V. Pivovarchik
South Ukrainian National Pedagogical University, 26 Staroportofrankovskaya, Odessa, 65020, Ukraine 

Citation Example

I. S. Kac and V. N. Pivovarchik, On Barcilon’s formula for Krein’s string, Methods Funct. Anal. Topology 23 (2017), no. 3, 270-276.

BibTex

@article {MFAT988,
    AUTHOR = {Kac, I. S. and Pivovarchik, V. N.},
     TITLE = {On Barcilon’s formula for Krein’s string},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {23},
      YEAR = {2017},
    NUMBER = {3},
     PAGES = {270-276},
      ISSN = {1029-3531},
  MRNUMBER = {MR3707521},
       URL = {http://mfat.imath.kiev.ua/article/?id=988},
}

References

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