# Hatvani László honlapja

### Publikációs lista

Vissza.

 Cím: On small solutions to second-order linear differential equations with nonmonotonous random coefficients. Szerzõ: Hatvani, L\'aszl\'a Forrás: Acta Sci. Math. 68, No.3-4, 705-725 (2002) Nyelv: English 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) Letöltés: | Zentralblatt