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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 1, Pages 224–233
DOI: https://doi.org/10.33048/smzh.2020.61.115 (Mi smj5975) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the conditions for oscillation of the solutions to differential equations with aftereffect and generalization of the koplatadze–chanturiya theorem

K. M. Chudinov

Perm State National Research Polytechnical University
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DOI: https://doi.org/10.33048/smzh.2020.61.115
Abstract: We consider a nonautonomous first-order linear differential equation with several delays and nonnegative coefficients. Some new sufficient conditions for the oscillation of all solutions are obtained in the form of an estimate for the lower limit of the sum of integrals of the coefficients. For the equation with one delay, the obtained oscillation conditions sharpen the classical Koplatadze–Chanturiya Theorem. The difference in strength between the new and available oscillation conditions is more significant for the equation with several delays.
Keywords: differential equation with several delays, oscillation, effective condition.
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 for 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: 03.03.2019
Revised: 17.10.2019
Accepted: 18.10.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 1, Pages 178–186
DOI: https://doi.org/10.1134/S0037446620010152
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 35R30
Language: Russian
Citation: K. M. Chudinov, “On the conditions for oscillation of the solutions to differential equations with aftereffect and generalization of the koplatadze–chanturiya theorem”, Sibirsk. Mat. Zh., 61:1 (2020), 224–233; Siberian Math. J., 61:1 (2020), 178–186
Citation in format AMSBIB
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\paper On the conditions for oscillation of the solutions to differential equations with aftereffect and generalization of the koplatadze--chanturiya theorem
\jour Sibirsk. Mat. Zh.
\yr 2020
\vol 61
\issue 1
\pages 224--233
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\crossref{https://doi.org/10.33048/smzh.2020.61.115}
\transl
\jour Siberian Math. J.
\yr 2020
\vol 61
\issue 1
\pages 178--186
\crossref{https://doi.org/10.1134/S0037446620010152}
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    • This publication is cited in the following 1 articles:
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    		Сибирский математический журнал Siberian Mathematical Journal
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