Boussaada, IslamChouikha, A. Raouf2021-07-212021-07-212006-11-01Boussaada, I., & Chouikha, A. R. (2006). Existence of periodic solution for perturbed generalized Lienard equations. <i>Electronic Journal of Differential Equations, 2006</i>(140), pp. 1-10.1072-6691https://hdl.handle.net/10877/14013Under conditions of Levinson-Smith type, we prove the existence of a τ-periodic solution for the perturbed generalized Liénard equation u″ + φ(u, u′)u′ + ψ(u) = ɛω(t/τ, u, u′) with periodic forcing term. Also we deduce sufficient condition for existence of a periodic solution for the equation u″ + [u2 + (u + u′)2 - 1]u′ + u = ɛω(t/τ, u, u′). The results obtained are illustrated with numerical examples.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalPerturbed systemsLienard equationPeriodic solutionArticle