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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 1, Pages 259–267 (Mi timm688)  
This article is cited in 5 scientific papers (total in 5 papers)

The problem of start control for a class of semilinear distributed systems of Sobolev type

V. E. Fedorova, M. V. Plekhanovab

a Chelyabinsk State University
b South Ural State University
Full-text PDF (187 kB) Citations (5)
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Abstract: A result on the solvability of the Cauchy problem for a semilinear equation of Sobolev type in a Banach space is obtained with the help of the theory of degenerate operator semigroups. The result is used for investigating the problem of start control in the corresponding system. Abstract results are illustrated by the example of the semilinear Dzektser equation.
Keywords: optimal control, distributed system, Sobolev type equation, semilinear equation.
Received: 02.08.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 275, Issue 1, Pages S40–S48
DOI: https://doi.org/10.1134/S0081543811090033
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. E. Fedorov, M. V. Plekhanova, “The problem of start control for a class of semilinear distributed systems of Sobolev type”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 259–267; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S40–S48
Citation in format AMSBIB
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\paper The problem of start control for a~class of semilinear distributed systems of Sobolev type
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\vol 17
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\pages 259--267
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2011
\vol 275
\issue , suppl. 1
\pages S40--S48
\crossref{https://doi.org/10.1134/S0081543811090033}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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