  We give necessary and/or sufficient conditions for stochastic stability of
second-order linear autonomous systems with parameters, which are perturbed by
a random process of the "white noise" type. The Ito's and Stratonovich's forms
of stochastic differential equations representing the system with white noise
are considered. The investigation of stochastic stability of the systems
considered is based on the construction of special Lyapunov functions in the
quadratic forms. The bifurcation value of the white noise intensity at which a
system first becomes unstable is presented in the analytical expression. As an
example a damped harmonic oscillator with randomly perturbed parameters is
considered.
