Existence of Periodic Solutions for a Class of p-Laplacian Systems with Delay
The purpose of this article is to study the existence of periodic solutions for the p -Laplacian systems with delay - ( | z ′ ( t ) | p - 2 z ′ ( t ) ) ′ = f ( t , z ( t + τ ) , z ( t ) , z ( t - τ ) ) , z ( τ ) - z ( - τ ) = z ′ ( τ ) - z ′ ( - τ ) = 0 . Using the saddle point theorem and the linki...
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| Veröffentlicht in: | Mediterranean journal of mathematics 2024-05, Vol.21 (3), Article 86 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The purpose of this article is to study the existence of periodic solutions for the
p
-Laplacian systems with delay
-
(
|
z
′
(
t
)
|
p
-
2
z
′
(
t
)
)
′
=
f
(
t
,
z
(
t
+
τ
)
,
z
(
t
)
,
z
(
t
-
τ
)
)
,
z
(
τ
)
-
z
(
-
τ
)
=
z
′
(
τ
)
-
z
′
(
-
τ
)
=
0
.
Using the saddle point theorem and the linking theorem, some new existence theorems are obtained for second-order
p
-Laplacian systems with delay. |
|---|---|
| ISSN: | 1660-5446 1660-5454 |
| DOI: | 10.1007/s00009-024-02629-w |