| Cím: | On the Armellini-Tonelli-Sansone theorem. |
| Szerző: | 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 |