Oscillation criteria for second order Emden-Fowler functional differential equations of neutral type
In this article, some new oscillation criterion for the second order Emden-Fowler functional differential equation of neutral type ( r ( t ) | z ′ ( t ) | α − 1 z ′ ( t ) ) ′ + q ( t ) | x ( σ ( t ) ) | β − 1 x ( σ ( t ) ) = 0 , where z ( t ) = x ( t ) + p ( t ) x ( τ ( t ) ) , α > 0 and β > 0...
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| Veröffentlicht in: | Journal of inequalities and applications 2016-12, Vol.2016 (1), p.1-11, Article 328 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this article, some new oscillation criterion for the second order Emden-Fowler functional differential equation of neutral type
(
r
(
t
)
|
z
′
(
t
)
|
α
−
1
z
′
(
t
)
)
′
+
q
(
t
)
|
x
(
σ
(
t
)
)
|
β
−
1
x
(
σ
(
t
)
)
=
0
,
where
z
(
t
)
=
x
(
t
)
+
p
(
t
)
x
(
τ
(
t
)
)
,
α
>
0
and
β
>
0
are established. Our results improve some well-known results which were published recently in the literature. Some illustrating examples are also provided to show the importance of our results. |
|---|---|
| ISSN: | 1029-242X 1025-5834 1029-242X |
| DOI: | 10.1186/s13660-016-1268-9 |