Abstract
This article is concerned with the oscillation of the forced second order differential equation with mixed nonlinearities
(
a
(
t
)
(
x
′
(
t
)
)
γ
)
′
+
p
o
(
t
)
x
γ
(
g
o
(
t
)
)
+
∑
i
=
1
n
p
i
(
t
)
|
x
(
g
i
(
t
)
)
|
α
i
sgn
x
(
g
i
(
t
)
)
=
e
(
t
)
where γ is a quotient of odd positive integers,
α
i > 0, i = 1, 2, …, n, a, e
, and
p
i
∈
C
(
[
0
,
∞
)
,
ℝ
)
,
a
(
t
)
>
o
,
g
i
:
ℝ
→
ℝ
are positive continuous functions on ℝ with
lim
t
→
∞
g
i
(
t
)
=
∞
,
i
=
0
,
1
,
…
,
n
Our results generalize and improve the results in a recent article by Sun and Wong [29].