Krishnan, Hari P.2019-12-202019-12-202000-07-24Krishnan, H. P. (2000). Uniqueness of rapidly oscillating periodic solutions to a singularly perturbed differential-delay equation. <i>Electronic Journal of Differential Equations, 2000</i>(56), pp. 1-18.1072-6691https://hdl.handle.net/10877/9123In this paper, we prove a uniqueness theorem for rapidly oscillating periodic solutions of the singularly perturbed differential-delay equation εẋ(t) = -x(t) + ƒ(x(t - 1)). In particular, we show that, for a given oscillation rate, there exists exactly one periodic solution to the above equation. Our proof relies upon a generalization of Lin's method, and is valid under generic conditions.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalDelay equationRapidly oscillatingSingularly perturbedArticle