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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 997–1014
DOI: https://doi.org/10.33048/semi.2021.18.075 (Mi semr1416) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Differentical equations, dynamical systems and optimal control

A problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device

D. A. Zakora, K. V. Forduk

V.I. Vernadsky Crimean Federal University, 4, Vernadskogo ave., Simferopol, 295007, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.075
Abstract: We investigate a problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device. We prove that the problem has a discrete spectrum localized in a vertical strip. The asymptotic behavior of the spectrum is investigated. The theorem on the Abel-Lidsky basis property of root elements of the problem is proved.
Keywords: system of bodies, ideal fluid, elastic damping device, basis of Abel-Lidsky, spectrum.
Received April 18, 2021, published September 28, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.984.4
MSC: 35Q35, 34L20
Language: English
Citation: D. A. Zakora, K. V. Forduk, “A problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 997–1014
Citation in format AMSBIB
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\by D.~A.~Zakora, K.~V.~Forduk
\paper A problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 997--1014
\mathnet{http://mi.mathnet.ru/semr1416}
\crossref{https://doi.org/10.33048/semi.2021.18.075}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000714481500004}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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