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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 4, Pages 95–107 (Mi timm429)  
This article is cited in 12 scientific papers (total in 12 papers)

Asymptotics of a solution to an optimal boundary control problem

A. R. Danilina, A. P. Zorinb

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Urals State Pedagogical University
Full-text PDF (201 kB) Citations (12)
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Abstract: A problem of optimal boundary control of solutions of an elliptic-type equation with a small coefficient at the highest derivative and integral restrictions on the control is considered. Asymptotic estimates for solutions of a problem that approximates the original problem are obtained.
Keywords: singular problems, optimal control, boundary-value problems for systems of partial differential equations, asymptotic expansions.
Received: 08.05.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, Volume 269, Issue 1, Pages S81–S94
DOI: https://doi.org/10.1134/S0081543810060088
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. R. Danilin, A. P. Zorin, “Asymptotics of a solution to an optimal boundary control problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 95–107; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S81–S94
Citation in format AMSBIB
\Bibitem{DanZor09}
\by A.~R.~Danilin, A.~P.~Zorin
\paper Asymptotics of a~solution to an optimal boundary control problem
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 4
\pages 95--107
\mathnet{http://mi.mathnet.ru/timm429}
\elib{https://elibrary.ru/item.asp?id=12952758}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2010
\vol 269
\issue , suppl. 1
\pages S81--S94
\crossref{https://doi.org/10.1134/S0081543810060088}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903309670}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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