Abstract
New oscillation and nonoscillation theorems are obtained for the second order quasilinear difference equation
Δ
(
|
Δ
x
n
−
1
|
ρ
−
1
Δ
x
n
−
1
)
+
p
n
|
x
n
|
ρ
−
1
x
n
=
0
,
where
ρ
>
0
is a constant and
{
p
n
}
n
=
1
∞
is a real sequence with
p
n
⩾
0
.