Nonoscillation and oscillation criteria for class of higher - order difference equations involving generalized difference operator
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi
Abstract
In this paper, sufficient conditions are obtained for nonoscillation/oscillation of all solutions of a class of higher-order difference equations involving the generalized difference operator of the form
Δ
k
a
(
p
n
Δ
2
a
y
n
)
=
f
(
n
,
y
n
,
Δ
a
y
n
,
Δ
2
a
y
n
,
.
.
.
,
Δ
k
+
1
a
y
n
)
,
where
Δ
a
is generalized difference operator which is defined as
Δ
a
y
n
=
y
n
+
1
−
a
y
n
,
a
≠
0
.
Description
Keywords
Difference equations, generalized difference operator, oscillation, nonoscillation