Zakora D.A., Forduk K.V. «A problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device» Сибирские электронные математические известия, 18, № 2, с. 997-1014 (2021)

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.