Abstract
The aim of this paper is to study oscillatory properties of the fourth-order strongly noncanonical equation of the form
$$ \bigl(r_{3}(t) \bigl(r_{2}(t) \bigl(r_{1}(t)y'(t) \bigr)' \bigr)' \bigr)'+p(t)y \bigl( \tau (t) \bigr)=0, $$
(
r
3
(
t
)
(
r
2
(
t
)
(
r
1
(
t
)
y
′
(
t
)
)
′
)
′
)
′
+
p
(
t
)
y
(
τ
(
t
)
)
=
0
,
where $\int ^{\infty }\frac{1}{r_{i}(s)}\,\mathrm {d}{s}<\infty $
∫
∞
1
r
i
(
s
)
d
s
<
∞
, $i=1,2,3$
i
=
1
,
2
,
3
. Reducing possible classes of the nonoscillatory solutions, new oscillatory criteria are established.
On Higher-Order Generalized Emden-Fowler Differential Equations with Delay Argument
