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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 8, Pages 30–41 (Mi ivm8916)  
This article is cited in 2 scientific papers (total in 2 papers)

On reconstruction of an input for parabolic equation on infinite time interval

M. S. Blizorukovaab, V. I. Maksimova

a Chair of Modeling of Controlled Syetems, Ural Federal University
b Department of Differential Equations, Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya str., Ekaterinburg, 620990 Russia
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Abstract: For a parabolic equation we consider a problem of dynamic reconstruction of inputs from measurements of phase coordinates on an infinite time interval. The paper presents an algorithm based on constructions of the theory of dynamic inversion. The algorithm is stable with respect to informational noises and computational errors.
Keywords: dynamic inverse problems, reconstruction of disturbances.
Received: 30.01.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 8, Pages 24–34
DOI: https://doi.org/10.3103/S1066369X14080039
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. S. Blizorukova, V. I. Maksimov, “On reconstruction of an input for parabolic equation on infinite time interval”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8, 30–41; Russian Math. (Iz. VUZ), 58:8 (2014), 24–34
Citation in format AMSBIB
\Bibitem{BliMak14}
\by M.~S.~Blizorukova, V.~I.~Maksimov
\paper On reconstruction of an input for parabolic equation on infinite time interval
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 8
\pages 30--41
\mathnet{http://mi.mathnet.ru/ivm8916}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 8
\pages 24--34
\crossref{https://doi.org/10.3103/S1066369X14080039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904619288}
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  • https://www.mathnet.ru/eng/ivm8916
  • https://www.mathnet.ru/eng/ivm/y2014/i8/p30
    • This publication is cited in the following 2 articles:
    1. P. G. Surkov, “Adaptivnyi algoritm ustoichivoi onlain identifikatsii pomekhi v sisteme drobnogo poryadka na beskonechnom vremennom gorizonte”, Tr. IMM UrO RAN, 29, no. 2, 2023, 172–188  mathnet  crossref  mathscinet  elib
    2. M. S. Blizorukova, V. I. Maksimov, “Input tracking for a parabolic equation on an infinite time interval”, Differ. Equ., 52:8 (2016), 1043–1053  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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