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Inverse spectral problem for a star graph of Stieltjes strings


Abstract

We solve the inverse spectral problem for a star graph of Stieltjes strings (these are threads bearing a finite number of point masses) with the pendant ends fixed, i.e., we recover the masses and lengths of the intervals between them from the spectra of small transverse vibrations of the graph together with the spectra of the Dirichlet problems on the edges and the total lengths of the edges.


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Article Information

TitleInverse spectral problem for a star graph of Stieltjes strings
SourceMethods Funct. Anal. Topology, Vol. 14 (2008), no. 2, 159-167
MathSciNet MR2432764
CopyrightThe Author(s) 2008 (CC BY-SA)

Authors Information

O. Boyko
South-Ukrainian State Pedagogical University, 26 Staroportofrankivs’ka, Odessa, 65020,Ukraine

V. Pivovarchik
South-Ukrainian State Pedagogical University, 26 Staroportofrankivs’ka, Odessa, 65020, Ukraine


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Citation Example

O. Boyko and V. Pivovarchik, Inverse spectral problem for a star graph of Stieltjes strings, Methods Funct. Anal. Topology 14 (2008), no. 2, 159-167.


BibTex

@article {MFAT457,
    AUTHOR = {Boyko, O. and Pivovarchik, V.},
     TITLE = {Inverse  spectral problem for a star graph of Stieltjes strings},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {14},
      YEAR = {2008},
    NUMBER = {2},
     PAGES = {159-167},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=457},
}


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