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 Tr. Mat. Inst. Steklova, 2010, Volume 268, Pages 124–136 (Mi tm2864)

Optimization of the boundary control by a displacement or by an elastic force on one end of a string under a model nonlocal boundary condition

V. A. Il'inab

a Moscow State University, Moscow, Russia
b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Abstract: An explicit analytic expression is obtained for optimal boundary controls exercised on one end of a string by a displacement or by an elastic force under a model nonlocal boundary condition of one of four types.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2010, 268, 117–129

Bibliographic databases:

Document Type: Article
UDC: 517.977

Citation: V. A. Il'in, “Optimization of the boundary control by a displacement or by an elastic force on one end of a string under a model nonlocal boundary condition”, Differential equations and topology. I, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Tr. Mat. Inst. Steklova, 268, MAIK Nauka/Interperiodica, Moscow, 2010, 124–136; Proc. Steklov Inst. Math., 268 (2010), 117–129

Citation in format AMSBIB
\Bibitem{Ili10} \by V.~A.~Il'in \paper Optimization of the boundary control by a~displacement or by an elastic force on one end of a~string under a~model nonlocal boundary condition \inbook Differential equations and topology.~I \bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin \serial Tr. Mat. Inst. Steklova \yr 2010 \vol 268 \pages 124--136 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm2864} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2724339} \zmath{https://zbmath.org/?q=an:1256.49026} \elib{http://elibrary.ru/item.asp?id=13726640} \transl \jour Proc. Steklov Inst. Math. \yr 2010 \vol 268 \pages 117--129 \crossref{https://doi.org/10.1134/S0081543810010104} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000277345600010} \elib{http://elibrary.ru/item.asp?id=15313731} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952284435} 

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This publication is cited in the following articles:
1. Cimen E., Cakir M., “Numerical Treatment of Nonlocal Boundary Value Problem With Layer Behaviour”, Bull. Belg. Math. Soc.-Simon Steven, 24:3 (2017), 339–352
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