# Hatvani László honlapja

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 Cím: On the Armellini-Tonelli-Sansone theorem. Szerzõ: Hatvani, L\'aszl\'o Forrás: Mem. Differ. Equ. Math. Phys. 12, 76-81 (1997) Nyelv: English Absztrakt: Summary: Sufficient conditions are given guaranteeing that all solutions to the equation $$x''+ a(t) f(x)= 0,\quad xf(x)> 0,$$ tend to zero as $t$ goes to infinity. The conditions contain integrals instead of maxima and minima in earlier results. Finally, a probabilistic generalization of the Armellini-Tonelli-Sansone theorem is formulated. Letöltés: | Zentralblatt