Nondegeneracy and Uniqueness of Periodic Solution for a Liénard Equation
In this paper, we consider the nondegeneracy of a Liénard equation x ′ ′ ( t ) + f ( x ( t ) ) x ′ ( t ) + a ( t ) x ( t ) = 0 . Besides, by nondegenerate results and Manásevich-Mawhin continuation theorem, we prove the existence and uniqueness of periodic solution of the related Liénard equation....
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Published in | Qualitative theory of dynamical systems Vol. 21; no. 4 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
01.12.2022
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper, we consider the nondegeneracy of a Liénard equation
x
′
′
(
t
)
+
f
(
x
(
t
)
)
x
′
(
t
)
+
a
(
t
)
x
(
t
)
=
0
.
Besides, by nondegenerate results and Manásevich-Mawhin continuation theorem, we prove the existence and uniqueness of periodic solution of the related Liénard equation. |
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ISSN: | 1575-5460 1662-3592 |
DOI: | 10.1007/s12346-022-00669-9 |