Positive periodic solution for p-Laplacian neutral damped Duffing equation with strong singularities of attractive and repulsive type
This paper is devoted to investigating the following p -Laplacian neutral damped Duffing equation with singularity: ( ϕ p ( u ( t ) − c u ( t − τ ) ) ′ ) ′ + P u ′ ( t ) + g ( u ( t ) ) = e ( t ) , where g has a singularity at u = 0 . Applying the Manásevich–Mawhin theorem on a continuous case of to...
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| Veröffentlicht in: | Journal of inequalities and applications 2019-04, Vol.2019 (1), p.1-13, Article 102 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | This paper is devoted to investigating the following
p
-Laplacian neutral damped Duffing equation with singularity:
(
ϕ
p
(
u
(
t
)
−
c
u
(
t
−
τ
)
)
′
)
′
+
P
u
′
(
t
)
+
g
(
u
(
t
)
)
=
e
(
t
)
,
where
g
has a singularity at
u
=
0
. Applying the Manásevich–Mawhin theorem on a continuous case of topological degree, we obtain the existence of a positive periodic solution for this equation. |
|---|---|
| ISSN: | 1029-242X 1025-5834 1029-242X |
| DOI: | 10.1186/s13660-019-2057-z |