On Oscillations of Connected Pendulums with Cavities Filled by Homogeneous Fluids

We consider the problem and normal oscillations (eigenoscillations) of system three connected (coupled to each other) pendulums with cavities filled one or several immiscible homogeneous fluids. study case partially dissipative where cavity first pendulum is completely two ideal fluids, second viscous third fluid. use methods functional analysis. prove theorem on correct solvability initial-boundary value any interval time. eigenoscillations conservative all fluids in are friction joints (points suspension) not taken into account. detail auxiliary problems small single above variants cavities.