Multiple Positive Periodic Solutions for Second-Order Differential Equations with a Singularity
In this paper, we obtain the existence of multiple positive periodic solutions for second-order differential equations with a singularity of the form x ″ ( t ) + f ( t , x ( t ) ) x ′ ( t ) + g ( x ( t ) ) = p ( t ) = p ( t + T ) by means of the continuation theorem of coincidence degree theory. Thi...
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| Veröffentlicht in: | Acta applicandae mathematicae 2016-08, Vol.144 (1), p.1-10 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we obtain the existence of multiple positive periodic solutions for second-order differential equations with a singularity of the form
x
″
(
t
)
+
f
(
t
,
x
(
t
)
)
x
′
(
t
)
+
g
(
x
(
t
)
)
=
p
(
t
)
=
p
(
t
+
T
)
by means of the continuation theorem of coincidence degree theory. This type of equations can be used to describe the forced oscillator driven in Lennard-Jones potential. As an application, an examples is given, and the numerical periodic solutions for this example is obtained by applying Maple software. |
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| ISSN: | 0167-8019 1572-9036 |
| DOI: | 10.1007/s10440-015-0030-5 |