Abstract
Considering autonomous delay functional differential equations, we establish some oscillation criterion that reduces the oscillation problem to computing the only root of the real-valued function defined by the coefficients of the initial equation. Using the criterion, we obtain effectively verifiable oscillation tests for equations with various aftereffects.
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Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 4, pp. 815–823.
The author was supported by the Ministry of Education and Science of the Russian Federation by the State Assignment No. 1.5336.2017/8.9 with the support of the Russian Foundation for Basic Research (Grant 18-01-00928).
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Malygina, V.V. Tests for the Oscillation of Autonomous Differential Equations with Bounded Aftereffect. Sib Math J 60, 636–643 (2019). https://doi.org/10.1134/S0037446619040098
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DOI: https://doi.org/10.1134/S0037446619040098