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Abstract and Applied Analysis
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Abstract and Applied Analysis
/
2011
/
Article
/
Tab 1
/
Research Article
Nonoscillation of Second-Order Dynamic Equations with Several Delays
Table 1
Forward jump,
Δ
-derivative, and
Δ
-integral.
𝕋
ℝ
ℤ
𝑞
ℤ
,
(
𝑞
>
1
)
𝜎
(
𝑡
)
𝑡
𝑡
+
1
𝑞
𝑡
𝑓
Δ
(
𝑡
)
𝑓
(
𝑡
)
Δ
𝑓
(
𝑡
)
𝐷
𝑞
𝑓
(
𝑡
)
∶
=
(
𝑓
(
𝑞
𝑡
)
−
𝑓
(
𝑡
)
)
/
(
(
𝑞
−
1
)
𝑡
)
∫
𝑡
𝑠
𝑓
(
𝜂
)
Δ
𝜂
∫
𝑡
𝑠
𝑓
(
𝜂
)
𝑑
𝜂
∑
𝑡
−
1
𝜂
=
𝑠
𝑓
(
𝜂
)
∫
𝑡
𝑠
𝑓
(
𝜂
)
𝑑
𝑞
∑
𝜂
∶
=
(
𝑞
−
1
)
l
o
g
𝑞
(
𝑡
/
𝑞
)
𝜂
=
l
o
g
𝑞
(
𝑠
)
𝑓
(
𝑞
𝜂
)
𝑞
𝜂