Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/8281
 Title: An improvement of Massera’s theorem for the existence and uniqueness of a periodic solution for the Li´enard equation Authors: Villari, Gabriele Keywords: Liénard equation; limit cycle Issue Date: 2012 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. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics44 (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. URI: http://hdl.handle.net/10077/8281 ISSN: 0049-4704 Appears in Collections: Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)

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