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Tambov University Reports. Series: Natural and Technical Sciences, 2017, Volume 22, Issue 6, Pages 1329–1334
DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1329-1334 (Mi vtamu138) 		 
MATHEMATICS

The existence and estimates of solutions of the Cauchy problem for a nonlinear functional-differential equation

Kh. M. Takhir

Tambov State University named after G.R. Derzhavin
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DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1329-1334
Abstract: We obtain an assertion about functional-differential inequality analogous to the well-known theorem of Chaplygin. The result can be used to find estimates of solutions of specific functional-differential equations.
Keywords: Cauchy problem, functional-differential equation, the Chaplygin theorem on differential inequality.
Received: 03.08.2017
Document Type: Article
UDC: 517
Language: Russian
Citation: Kh. M. Takhir, “The existence and estimates of solutions of the Cauchy problem for a nonlinear functional-differential equation”, Tambov University Reports. Series: Natural and Technical Sciences, 22:6 (2017), 1329–1334
Citation in format AMSBIB
\Bibitem{Tak17}
\by Kh.~M.~Takhir
\paper The existence and estimates of solutions of the Cauchy problem for a nonlinear functional-differential equation
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2017
\vol 22
\issue 6
\pages 1329--1334
\mathnet{http://mi.mathnet.ru/vtamu138}
\crossref{https://doi.org/10.20310/1810-0198-2017-22-6-1329-1334}
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