Oscillation Criteria for Certain Fourth-Order Nonlinear Delay Differential Equations
In this article, we establish some new criteria for the oscillation of fourth-order nonlinear delay differential equations of the form ( r 2 ( t ) ( r 1 ( t ) ( y ′ ′ ( t ) ) α ) ′ ) ′ + p ( t ) ( y ′ ′ ( t ) ) α + q ( t ) f ( y ( g ( t ) ) ) = 0 provided that the second-order equation ( r 2 ( t ) z...
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| Veröffentlicht in: | Mediterranean journal of mathematics 2016-10, Vol.13 (5), p.2383-2396 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this article, we establish some new criteria for the oscillation of fourth-order nonlinear delay differential equations of the form
(
r
2
(
t
)
(
r
1
(
t
)
(
y
′
′
(
t
)
)
α
)
′
)
′
+
p
(
t
)
(
y
′
′
(
t
)
)
α
+
q
(
t
)
f
(
y
(
g
(
t
)
)
)
=
0
provided that the second-order equation
(
r
2
(
t
)
z
′
(
t
)
)
′
)
+
p
(
t
)
r
1
(
t
)
z
(
t
)
=
0
is nonoscillatory or oscillatory. |
|---|---|
| ISSN: | 1660-5446 1660-5454 |
| DOI: | 10.1007/s00009-015-0630-3 |