| Absztrakt: | The authors pose the question: For arbitrarily fixed initial
data, what is the probability, that the corresponding solution
to the equation $$x''+a(t)x=0 \qquad t\geq 0,$$ vanishes at $+\infty
$? The answer to this problem is given in the case when $a$ is
a step function. More precisely, when $a(t)=a_k$ for $t_{k-1}\leq
t<t_k$, $k=1,2, \dots $, $(a_k)_{k=1}^{+\infty }$ is a nondecreasing
sequence of positive numbers and $t_k-t_{k-1}$, $k=1,2, \dots
$ are independent random variables uniformly distributed on interval
$[0,1]$.}
\RV{A.Lomtatidze (Brno) |