Abstract
In this paper, we consider the following higher-order neutral delay difference equations with positive and negative coefficients:
Δ
m
(
x
n
+
cx
n−
k
) +
p
n
x
n−
r
−
q
n
x
n−
l
= 0,
n≥
n
0, where
c
ϵ
R,
m ⩾ 1,
k ⩾ 1,
r,
l ⩾ 0 are integers, and {
p
n
}
∞
n=
n
0
and {
q
n
}
n=
n
0
∞ are sequences of nonnegative real numbers. We obtain the global results (with respect to
c) which are some sufficient conditions for the existences of nonoscillatory solutions.