Forward and inverse dynamic problems for a Krein string. Approximation by point-mass densities.

Alexander S. Mikhaylov, Victor S. Mikhaylov

Research output

Abstract

We consider a dynamic inverse problem for a dynamical system describing propagation of waves in a Krein string. We reduce the dynamical system to the integral equation and consider the important special case when the density of a string is given by a finite number of point masses distributed on the interval. We derive the Krein-type equation and solve the dynamic inverse problem in this particular case. We also consider the approximation of constant density by point-mass densities uniformly distributed on the interval and the effect of appearing of the finite speed of a wave propagation in the dynamical system.
Original languageEnglish
Title of host publicationProceedings of the International Conference Days on Diffraction 2019
EditorsO.V. Motygin, at al.
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages125-130
ISBN (Electronic)9781728158372
ISBN (Print)9781728158389
DOIs
Publication statusPublished - 1 Nov 2019
EventInternational conference Days on Diffraction-2019 - Санкт-Петербург
Duration: 3 Jun 20197 Jun 2019

Conference

ConferenceInternational conference Days on Diffraction-2019
CountryRussian Federation
CityСанкт-Петербург
Period3/06/197/06/19

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