title: On Oscillations of Connected Pendulums with Cavities Filled with Homogeneous Fluids
abstract: We consider the problem and normal (eigen) oscillations of the system of three connected (coupled to each other) pendulums with cavities ﬁlled with one or several immiscible homogeneous ﬂuids. We study the case of partially dissipative system when the cavity of the ﬁrst pendulum is completely ﬁlled with two ideal ﬂuids, the cavity of the second one is ﬁlled with three viscous ﬂuids, and the cavity third one is ﬁlled with one ideal ﬂuid. We use methods of functional analysis. We prove the theorem
journal: Contemporary Mathematics Fundamental Directions