Hbid, My LhassanQesmi, Redouane2021-07-212021-07-212006-11-09Hbid, 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. 1-12.1072-6691https://hdl.handle.net/10877/14014This 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.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalDifferential equationPeriodic delayBifurcationh-asymptotic stabilityPeriodic solutionArticle