Differential equations of second order appear in a wide variety of applications in physics, mathematics, and engineering. In this paper, necessary and sufficient conditions are established for oscillations of solutions to second-order half-linear delay differential equations of the form
ς
y
u
′
y
a
′
+
p
y
u
c
ϑ
y
=
0
,
for
y
≥
y
0
,
under the assumption
∫
∞
ς
η
−
1
/
a
=
∞
. Two cases are considered for
a
<
c
and
a
>
c
, where
a
and
c
are the quotients of two positive odd integers. Two examples are given to show the effectiveness and applicability of the result.