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Contemporary Mathematics. Fundamental Directions, 2019, Volume 65, Issue 4, Pages 547–556
DOI: https://doi.org/10.22363/2413-3639-2019-65-4-547-556 (Mi cmfd387) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On one damping problem for a nonstationary control system with aftereffect

A. S. Adkhamova, A. L. Skubachevskii

Peoples' Friendship University of Russia (RUDN University), Moscow, Russia
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DOI: https://doi.org/10.22363/2413-3639-2019-65-4-547-556
Abstract: We consider a control system described by the system of differential-difference equations of neutral type with variable matrix coefficients and several delays. We establish the relation between the variational problem for the nonlocal functional describing the multidimensional control system with delays and the corresponding boundary-value problem for the system of differential-difference equations. We prove the existence and uniqueness of the generalized solution of this boundary-value problem.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 17-01-00401_а
Document Type: Article
UDC: 517.929
Language: Russian
Citation: A. S. Adkhamova, A. L. Skubachevskii, “On one damping problem for a nonstationary control system with aftereffect”, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, CMFD, 65, no. 4, RUDN University, M., 2019, 547–556
Citation in format AMSBIB
\Bibitem{AdkSku19}
\by A.~S.~Adkhamova, A.~L.~Skubachevskii
\paper On one damping problem for a nonstationary control system with aftereffect
\inbook Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University
\serial CMFD
\yr 2019
\vol 65
\issue 4
\pages 547--556
\publ RUDN University
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd387}
\crossref{https://doi.org/10.22363/2413-3639-2019-65-4-547-556}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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