Laszlo Hatvani
abstract:
Sufficient conditions are given guaranteeing that all solutions of the
equation
$$
x''+a(t)f(x)=0\;\;\;(xf(x)>0)
$$
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 Armellini-Tonelli-Sansone theorem is formulated.
Mathematics Subject Classification: 34D20.
Key words and phrases: Partial asymptotic stability, oscillation.