Periodic Solutions for Functional Differential Equations with Periodic Delay Close to Zero
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چکیده
This paper studies the existence of periodic solutions to the delay differential equation ẋ(t) = f(x(t− μτ(t)), ) . 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.
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تاریخ انتشار 2006