Abstract
In this paper, we study the oscillation of solutions for an even-order differential equation with middle term, driven by a
p
-Laplace differential operator of the form
{
(
r
(
x
)
Φ
p
[
z
(
κ
−
1
)
(
x
)
]
)
′
+
a
(
x
)
Φ
p
[
f
(
z
(
κ
−
1
)
(
x
)
)
]
+
∑
i
=
1
j
q
i
(
x
)
Φ
p
[
h
(
z
(
δ
i
(
x
)
)
)
]
=
0
,
j
≥
1
,
r
(
x
)
>
0
,
r
′
(
x
)
+
a
(
x
)
≥
0
,
x
≥
x
0
>
0
.
The oscillation criteria for these equations have been obtained. Furthermore, an example is given to illustrate the criteria.