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.
ReceivedApril 18, 2021, published September 28, 2021
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
\Bibitem{ZakFor21}
\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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https://www.mathnet.ru/eng/semr1416
https://www.mathnet.ru/eng/semr/v18/i2/p997
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