Periodic solutions for functional differential equations with periodic delay close to zero
| dc.contributor.author | Hbid, My Lhassan | |
| dc.contributor.author | Qesmi, Redouane | |
| dc.date.accessioned | 2021-07-21T14:02:27Z | |
| dc.date.available | 2021-07-21T14:02:27Z | |
| dc.date.issued | 2006-11-09 | |
| dc.description.abstract | This paper studies the existence of periodic solutions to the delay differential equation ẋ(t) = ƒ(x(t - μτ(t)), ɛ). The analysis is based on a perturbation method previously used for retarded differential equations with constant delay. By transforming the studied equation into a perturbed non-autonomous ordinary equation and using a bifurcation result and the Poincaré procedure for this last equation, we prove the existence of a branch of periodic solutions, for the periodic delay equation bifurcating from μ = 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Hbid, M. L., & Qesmi, R. (2006). Periodic solutions for functional differential equations with periodic delay close to zero. <i>Electronic Journal of Differential Equations, 2006</i>(141), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14014 | |
| 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 | Differential equation | |
| dc.subject | Periodic delay | |
| dc.subject | Bifurcation | |
| dc.subject | h-asymptotic stability | |
| dc.subject | Periodic solution | |
| dc.title | Periodic solutions for functional differential equations with periodic delay close to zero | |
| dc.type | Article |