Abstract
The oscillation of second order neutral difference equations with positive and negative coefficients of the form
Δ
2
(
x
n
+
λ
a
n
x
n
−
τ
)
+
p
n
x
n
−
δ
−
q
n
x
n
−
σ
=
0
,
λ
=
±
1
is investigated. We obtain many new results using the comparison between both first order and second order difference equations. An example is given to show the strength of the obtained results.