Inverse problem for Stieltjes string damped at one end

Authors

  • V. N. Pivovarchik Department of Applied Mathematics and Informatics, South-Ukrainian State Pedagogical University, 26 Staroportofrankivs'ka, Odessa, 65020, Ukraine
  • O. P. Boyko Department of Applied Mathematics and Informatics, South-Ukrainian State Pedagogical University, 26 Staroportofrankivs'ka, Odessa, 65020, Ukraine 

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Keywords:

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.

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Published

2008-03-25

Issue

Vol. 14 No. 1 (2008)

Section

Articles

How to Cite

Pivovarchik, V. N., and O. P. Boyko. “Inverse Problem for Stieltjes String Damped at One End”. Methods of Functional Analysis and Topology, vol. 14, no. 1, Mar. 2008, pp. 10-19, https://zen.imath.kiev.ua/index.php/mfat/article/view/366.