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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 2, Pages 63–70
DOI: https://doi.org/10.21538/0134-4889-2016-22-2-63-70 (Mi timm1291) 		 
On the stable tracking problem for a solution of a differential equation in a Hilbert space

M. S. Blizorukovaab, V. I. Maksimovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
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DOI: https://doi.org/10.21538/0134-4889-2016-22-2-63-70
Abstract: We consider the problem of tracking a solution of a reference parabolic equation by a solution of another equation. A stable algorithm based on the extremal shift method is proposed for this problem. The algorithm is designed to work on a sufficiently large time interval where both equations operate.
Keywords: parabolic equation, tracking problem.
Received: 10.12.2015
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 93C20, 35K90
Language: Russian
Citation: M. S. Blizorukova, V. I. Maksimov, “On the stable tracking problem for a solution of a differential equation in a Hilbert space”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 63–70
Citation in format AMSBIB
\Bibitem{BliMak16}
\by M.~S.~Blizorukova, V.~I.~Maksimov
\paper On the stable tracking problem for a solution of a differential equation in a Hilbert space
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 2
\pages 63--70
\mathnet{http://mi.mathnet.ru/timm1291}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-2-63-70}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3559162}
\elib{https://elibrary.ru/item.asp?id=26040814}
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