  We study a friction controlled slide of a body excited by random motions of
the foundation it is placed on. Specifically, we are interested in quantities
such as displacement, traveled distance, and energy loss due to friction.
Assuming that the random excitation is switched off at some time, it is shown
that the problem can be treated in an analytic, explicit, manner. Particularly,
we derive formulas for the moments of the displacement and distance, and also
for the average energy loss. To accomplish that we use the Pugachev-Sveshnikov
equation for the characteristic function of a continuous random process given
by a system of SDEs. This equation is solved by reduction to a parametric
Riemann boundary value problem of complex analysis.
