|
This article is cited in 2 scientific papers (total in 2 papers)
Differentical equations, dynamical systems and optimal control
A problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device
D. A. Zakora, K. V. Forduk V.I. Vernadsky Crimean Federal University, 4, Vernadskogo ave., Simferopol, 295007, Russia
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.
Received April 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
Linking options:
https://www.mathnet.ru/eng/semr1416 https://www.mathnet.ru/eng/semr/v18/i2/p997
|
|