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An improvement of Massera’s theorem for the existence and uniqueness of a periodic solution for the Li´enard equation
Villari, Gabriele
2012
Abstract
In this paper we prove the existence and uniqueness of a periodic solution for the Liénard equation x¨ + f (x) x˙ + x = 0. The classical Massera’s monotonicity assumptions, which are required in the whole line, are relaxed to the interval (\alpha,\delta
), where \alpha
and \delta
can be easily determined. In the final part of the paper a simple perturbation criterion of uniqueness is presented.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Subjects
Publisher
EUT Edizioni Università di Trieste
Source
Gabriele Villari, "An improvement of Massera’s theorem for the existence and uniqueness of a periodic solution for the Liénard equation", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 187–195.
Languages
en
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