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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     author = {D. A. Zakora and K. V. Forduk},
     title = {A problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {997--1014},
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     volume = {18},
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     year = {2021},
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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/