Geodesic
A problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 997-1014.

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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. 
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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. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 997-1014. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a47/

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