| Absztrakt: | Here, the second-order linear differential equation $x^{''}+a^2(t)x=0$
is considered with $a(t):=a_k$, if $t_{k-1}\le t \le t_{k}$.
The sequence $\{a_k\}_{k=1}^{k=\infty}$ ($a_k >0$) is given and
it is assumed that the numbers $t_k-t_{k-1}$ are totally independent
random variables uniformly distributed on the interval $[0,1]$.
The problem was studied for monotone step functions. The author
gives conditions under which the same properties of the solution
are preserved in case of nonmonotonous step functions.}
\RV{Istv\'an Farag\'o (Budapest) |