# Hatvani László honlapja

### Publikációs lista

Vissza.

 Cím: On small solutions second-order differential equations with random coefficients. Szerzõ: Hatvani, L\'aszl\'o; Stach\'o, L\'aszl\'o Forrás: Arch. Math., Brno 34, No.1, 119-126 (1998). [ISSN 0044-8753; ISSN 1212-5059 Nyelv: English 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