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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 4, Pages 815–823
DOI: https://doi.org/10.33048/smzh.2019.60.409 (Mi smj3117) 		 
Tests for the oscillation of autonomous differential equations with bounded aftereffect

V. V. Malygina

Perm National Research Polytechnic University, Perm, Russia
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DOI: https://doi.org/10.33048/smzh.2019.60.409
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.
Keywords: delay differential equation, oscillation, concentrated and distributed delay.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.5336.2017/8.9
Russian Foundation for Basic Research 18-01-00928_а
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).
Received: 29.08.2018
Revised: 04.12.2018
Accepted: 19.12.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 4, Pages 636–643
DOI: https://doi.org/10.1134/S0037446619040098
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: V. V. Malygina, “Tests for the oscillation of autonomous differential equations with bounded aftereffect”, Sibirsk. Mat. Zh., 60:4 (2019), 815–823; Siberian Math. J., 60:4 (2019), 636–643
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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