Existence of periodic solution for perturbed generalized Lienard equations
Date
2006-11-01
Authors
Boussaada, Islam
Chouikha, A. Raouf
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
Under 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.
Description
Keywords
Perturbed systems, Lienard equation, Periodic solution
Citation
Boussaada, 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.