@inproceedings{b995d7dbe4a24fa785be2e93ea48785e,
title = "Explicit Periodic Solutions in a Delay Differential Equation",
abstract = "We construct stable periodic solutions for a simple form nonlinear delay differential equation (DDE) with a periodic coefficient. The equation involves one underlying nonlinearity with the multiplicative periodic coefficient. The well-known idea of reduction to interval maps is used in the case under consideration, when both the defining nonlinearity and the periodic coefficient are piecewise constant functions. The stable periodic dynamics persist under a smoothing procedure in a small neighborhood of the discontinuity set. This work continues the research in recent paper [7] on stable periodic solutions of differential delay equations with periodic coefficients.",
author = "Anatoli Ivanov and Sergiy Shelyag",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.; 6th International Conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2023 ; Conference date: 14-08-2023 Through 18-08-2023",
year = "2025",
doi = "10.1007/978-3-031-84869-8\_39",
language = "English (US)",
isbn = "9783031848681",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "459--466",
editor = "Kilgour, \{D. Marc\} and Makarov, \{Roman N.\} and Roderick Melnik and Xu Wang and Herb Kunze",
booktitle = "Addressing Modern Challenges in the Mathematical, Statistical, and Computational Sciences - The 6th AMMCS International Conference",
}