Llibre Saló, JaumePonce Núñez, EnriqueTorres Peral, Francisco2017-04-272017-04-272008Llibre Saló, J., Ponce Núñez, E. y Torres Peral, F. (2008). On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities. Nonlinearity, 21 (9), 2121-2142.0951-7715http://hdl.handle.net/11441/58704In this paper we study the non-existence and the uniqueness of limit cycles for the Liénard differential equation of the form x'' − f(x)x' + g(x) = 0 where the functions f and g satisfy xf(x) > 0 and xg(x) > 0 for x ≠ 0 but can be discontinuous at x = 0. In particular, our results allow us to prove the non-existence of limit cycles under suitable assumptions, and also prove the existence and uniqueness of a limit cycle in a class of discontinuous Liénard systems which are relevant in engineering applications.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Liénard differential equationsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1088/0951-7715/21/9/013