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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 7, Pages 72–85
DOI: https://doi.org/10.26907/0021-3446-2019-7-72-85 (Mi ivm9484) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On conditions for the oscillation of solutions to a first-order differential equation with aftereffect

K. M. Chudinov, V. V. Malygina

Perm National Research Polytechnic University, 29 Komsomolskiy Ave., Perm, 614990 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-7-72-85
Abstract: We establish some new effective conditions for the oscillation of solutions to linear first-order differential equations with aftereffect. We develop a new approach to obtaining oscillation conditions in the form of the upper limit of a function of parameters of an equation. The approach is applied to equations with one and several concentrated delays, and to one with distributed delay. We show the advantages of the new results over known results.
Keywords: functional differential equation, aftereffect, oscillation, effective tests, several delays, distributed delay, iterative approach.
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
This work was performed within the framework of the main part of the state task of the Ministry of Education and Science of the Russian Federation (project no. 1.5336.2017/8.9) and supported by the Russian Foundation for Basic Research (project no. 18-01-00928).
Received: 15.05.2018
Revised: 15.05.2018
Accepted: 20.06.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 7, Pages 62–74
DOI: https://doi.org/10.3103/S1066369X19070077
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: K. M. Chudinov, V. V. Malygina, “On conditions for the oscillation of solutions to a first-order differential equation with aftereffect”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 7, 72–85; Russian Math. (Iz. VUZ), 63:7 (2019), 62–74
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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