Inverse problem for Stieltjes string damped at one end

Abstract

Small transversal vibrations of the Stieltjes string, i.e., an elastic thread bearing point masses is considered for the case of one end being fixed and the other end moving with viscous friction in the direction orthogonal to the equilibrium position of the string. The inverse problem of recovering the masses, the lengths of subintervals and the coefficient of damping by the spectrum of vibrations of such a string and its total length is solved.

Full Text

Article Information

Title	Inverse problem for Stieltjes string damped at one end
Source	Methods Funct. Anal. Topology, Vol. 14 (2008), no. 1, 10-19
MathSciNet	MR2402149
Copyright	The Author(s) 2008 (CC BY-SA)

Authors Information

Olga Boyko
Department of Applied Mathematics and Informatics, South-Ukrainian State Pedagogical University, 26 Staroportofrankivs'ka, Odessa, 65020, Ukraine

Vyacheslav Pivovarchik
Department of Applied Mathematics and Informatics, South-Ukrainian State Pedagogical University, 26 Staroportofrankivs'ka, Odessa, 65020, Ukraine 

Citation Example

Olga Boyko and Vyacheslav Pivovarchik, Inverse problem for Stieltjes string damped at one end, Methods Funct. Anal. Topology 14 (2008), no. 1, 10-19.

BibTex

@article {MFAT434,
    AUTHOR = {Boyko, Olga and Pivovarchik, Vyacheslav},
     TITLE = {Inverse problem for Stieltjes string damped at one end},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {14},
      YEAR = {2008},
    NUMBER = {1},
     PAGES = {10-19},
      ISSN = {1029-3531},
  MRNUMBER = {MR2402149},
       URL = {https://mfat.imath.kiev.ua/article/?id=434},
}