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Tambov University Reports. Series: Natural and Technical Sciences, 2017, Volume 22, Issue 3, Pages 579–584
DOI: https://doi.org/10.20310/1810-0198-2017-22-3-579-584 (Mi vtamu116) 		 
Scientific articles

Continuous dependence on parameters of solutions to boundary-value problems for a system of implicit differential equations with deviating argument

V. S. Treshchev

Tambov State University named after G.R. Derzhavin
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DOI: https://doi.org/10.20310/1810-0198-2017-22-3-579-584
Abstract: Conditions are offered that ensure a continuous dependence on the parameters solutions of the boundary value problem for a system of implicit differential equations with a deviating argument. The method used in this paper is based on the results on vector-covering mappings obtained by E.S. Zhukovsky.
Keywords: a system of differential equations, a boundary-value problem, vector covering mappings, metric spaces.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00553
The present research is supported by the Russian Fund for Basic Research (project № 17-01-00553).
Received: 17.04.2017
Document Type: Article
UDC: 517.988.5, 517.922
Language: Russian
Citation: V. S. Treshchev, “Continuous dependence on parameters of solutions to boundary-value problems for a system of implicit differential equations with deviating argument”, Tambov University Reports. Series: Natural and Technical Sciences, 22:3 (2017), 579–584
Citation in format AMSBIB
\Bibitem{Tre17}
\by V.~S.~Treshchev
\paper Continuous dependence on parameters of solutions to boundary-value problems for a system of implicit differential equations with deviating argument
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2017
\vol 22
\issue 3
\pages 579--584
\mathnet{http://mi.mathnet.ru/vtamu116}
\crossref{https://doi.org/10.20310/1810-0198-2017-22-3-579-584}
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