New oscillation criteria for first-order delay difference equations
In this paper, some new oscillation criteria are obtained for the first-order delay difference equation x n + 1 − x n + k k ( k + 1 ) k + 1 x n - k + f ( n , x n − l 1 , … , x n − l s ) = 0 , n = 0 , 1 , 2 , … , , where k,l 1,l 2,, l s are positive integer numbers, f is a function. Our results impro...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2004-06, Vol.47 (12), p.1875-1884 |
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| container_issue | 12 |
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| container_title | Computers & mathematics with applications (1987) |
| container_volume | 47 |
| creator | Jiang, Jianchu Li, Xiaoping Tang, Xianhua |
| description | In this paper, some new oscillation criteria are obtained for the first-order delay difference equation
x
n
+
1
−
x
n
+
k
k
(
k
+
1
)
k
+
1
x
n
-
k
+
f
(
n
,
x
n
−
l
1
,
…
,
x
n
−
l
s
)
=
0
,
n
=
0
,
1
,
2
,
…
,
, where
k,l
1,l
2,, l
s
are positive integer numbers, f is a function. Our results improve the known results in the literature. And some examples are given to demonstrate the advantage of our results. |
| doi_str_mv | 10.1016/j.camwa.2003.08.005 |
| format | Article |
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x
n
+
1
−
x
n
+
k
k
(
k
+
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k
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1
x
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-
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(
n
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…
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x
n
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l
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n
=
0
,
1
,
2
,
…
,
, where
k,l
1,l
2,, l
s
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| fulltext | fulltext |
| identifier | ISSN: 0898-1221 |
| ispartof | Computers & mathematics with applications (1987), 2004-06, Vol.47 (12), p.1875-1884 |
| issn | 0898-1221 1873-7668 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_29502733 |
| source | Elsevier ScienceDirect Journals Complete - AutoHoldings; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Difference equation Oscillation |
| title | New oscillation criteria for first-order delay difference equations |
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