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Tambov University Reports. Series: Natural and Technical Sciences, 2017, Volume 22, Issue 3, Pages 571–578
DOI: https://doi.org/10.20310/1810-0198-2017-22-3-571-578 (Mi vtamu115) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Scientific articles

About implicit differential inequalities with deviating argument

I. D. Serova

Tambov State University named after G.R. Derzhavin
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DOI: https://doi.org/10.20310/1810-0198-2017-22-3-571-578
Abstract: Assertion about existence and evaluation of solutions to equations $\Upsilon (x,x)=y,$ where the mapping $\Upsilon$ acting in partially ordered spaces is covering by the first argument and antitone by the second argument is derived. This result is used for the proof of the Chaplygin's type theorem on differential inequality with deviating argument.
Keywords: orderly covering mappings, differential equation with deviating argument, the Сauchy problem, Chaplygin’s type inequality.
Funding agency Grant number
Russian Foundation for Basic Research 17-41-680975
The work is partially supported by the Russian Fund for Basic Research (project № 17-41-680975).
Received: 14.04.2017
Document Type: Article
UDC: 517.922, 517.988.6
Language: Russian
Citation: I. D. Serova, “About implicit differential inequalities with deviating argument”, Tambov University Reports. Series: Natural and Technical Sciences, 22:3 (2017), 571–578
Citation in format AMSBIB
\Bibitem{Ser17}
\by I.~D.~Serova
\paper About implicit differential inequalities with deviating argument
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2017
\vol 22
\issue 3
\pages 571--578
\mathnet{http://mi.mathnet.ru/vtamu115}
\crossref{https://doi.org/10.20310/1810-0198-2017-22-3-571-578}
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