New approach for the existence of pseudo almost periodic solutions for some second order differential equation with piecewise constant argument
The following equation d 2 / d t 2 ( x ( t ) + px ( t - 1 ) ) = qx ( 2 [ ( t + 1 ) / 2 ] ) + f ( t ) is considered and necessary and sufficient conditions are given in order to ensure the existence and uniqueness of pseudo almost periodic solutions.
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| Veröffentlicht in: | Nonlinear analysis 2006-03, Vol.64 (6), p.1307-1324 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The following equation
d
2
/
d
t
2
(
x
(
t
)
+
px
(
t
-
1
)
)
=
qx
(
2
[
(
t
+
1
)
/
2
]
)
+
f
(
t
)
is considered and necessary and sufficient conditions are given in order to ensure the existence and uniqueness of pseudo almost periodic solutions. |
|---|---|
| ISSN: | 0362-546X 1873-5215 |
| DOI: | 10.1016/j.na.2005.06.037 |