O wyznaczaniu charakterystyk probabilistycznych rozwiązań wahadła podwójnego o zmiennej długości poddanego wymuszeniom losowym

A method for determining the probabilistic characteristics of solutions of the double pendulum with varying length subject to random forcing is given. The method is based on the stochastic integral Volterra equation of the second kind and not, as usually, on the multidimensional impulse transition function which is difficult to determine in the case of the system of differential equations parameters of which change in time. Formulae for the correlation function as well as the autocorrelation function of the solutions are given. The variance of the solutions for two types of the stochastic processes forcing the pendulum motion is calculated numerically.