On Small Motions of Hydraulic Systems Containing Viscoelastic Fluid

In this paper, we study two problems describing small motions of partially dissipative hydraulic systems. The first problem concerns a system consisting viscoelastic fluid and barotropic gas located above the fluid; second “viscoelastic fluid–ideal fluid” in an immovable vessel. Using operator approach developed previous works authors, reduce both to Cauchy for differential-operator equation Hilbert space prove theorem on solvability arbitrary finite time interval.