A problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device
Keywords:
system of bodies, ideal fluid, elastic damping device, basis of Abel-Lidsky, spectrum.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.
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Published
2021-09-28
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Section
Differential equations, dynamical systems and optimal control