Abstract The problem of the existence of periodic solution for the Lienard equation is investigated, and a result which improves the classical Dragilev's theorem is presented, together with a corollary in which there are no assumptions on the function g(x) besides the standard sign condition. In the final part of the paper constructive examples with several limit cycles are provided.
An extension of Dragilev's Theorem for the existence of periodic solutions of the Liénard equation / Martina, Cioni; Gabriele, Villari. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 127:(2015), pp. 55-70. [10.1016/j.na.2015.06.026]
An extension of Dragilev's Theorem for the existence of periodic solutions of the Liénard equation
VILLARI, GABRIELE
2015
Abstract
Abstract The problem of the existence of periodic solution for the Lienard equation is investigated, and a result which improves the classical Dragilev's theorem is presented, together with a corollary in which there are no assumptions on the function g(x) besides the standard sign condition. In the final part of the paper constructive examples with several limit cycles are provided.
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Cioni-Villari NLA.pdf
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