Existence of periodic solution for perturbed generalized Lienard equations
| dc.contributor.author | Boussaada, Islam | |
| dc.contributor.author | Chouikha, A. Raouf | |
| dc.date.accessioned | 2021-07-21T13:42:34Z | |
| dc.date.available | 2021-07-21T13:42:34Z | |
| dc.date.issued | 2006-11-01 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14013 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Perturbed systems | |
| dc.subject | Lienard equation | |
| dc.subject | Periodic solution | |
| dc.title | Existence of periodic solution for perturbed generalized Lienard equations | |
| dc.title.alternative | Existence of periodic solution for perturbed generalized Liénard equations | |
| dc.type | Article |