Problem on oscillation of a body partially filled with an ideal fluid under the action of an elastic and damping forces

We investigate a problem on small motions of a body partially filled with an
ideal fluid under the action of an elastic and damping forces. The initial
boundary value problem is reduced to the Cauchy problem for a first-order
differential operator equation in a Hilbert space. Properties of the resulting
operator matrices, which are coefficients of the equation, are studied.
Theorems on strong solvability of the Cauchy problem and the initial boundary
value problem are proven.

UDC:
517.958