Abstract
This paper deals with the oscillation properties of higher-order nonlinear differential equations with distributed delay
[
b
(
ℓ
)
(
y
(
n
−
1
)
(
ℓ
)
)
γ
]
′
+
∫
c
d
q
(
ℓ
,
ξ
)
y
γ
(
g
(
ℓ
,
ξ
)
)
d
(
ξ
)
=
0
,
ℓ
≥
ℓ
0
,
under the condition
∫
ℓ
0
∞
1
b
1
γ
(
ℓ
)
d
ℓ
<
∞
.
We obtain new oscillation criteria by employing a refinement of the generalized Riccati transformations and new comparison principles. We provide some examples to illustrate the main results.