It is proved that if for some n>2 the function x
1–nA
n(x), where A
n(x) is the n-th primitive of
a(x), is not bounded above, then the equation y
+
a(x)y = 0 oscillates.
Translated from Matematicheskie Zametki, Vol. 23, No. 2, pp. 249–251, February, 1978.
In conclusion, I thank R. S. Ismagilov for useful discussions about the problem of osillation.