Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 3, Pages 25–33 (Mi vmumm873)  
This article is cited in 10 scientific papers (total in 10 papers)

Mathematics

Controlling solutions to a linear differential equation

I. N. Sergeev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (258 kB) Citations (10)
Abstract: Both global attainability and global reducibility problems for a control system equivalent to a linear differential equation are positively solved. Furthermore, the existence of a linear equation having a given Cauchy matrix on a given segment and coinciding with given equations on the left and right of that segment is proved. The results obtained allow one to construct a linear equation with the fundamental solutions system possessing preassigned properties.
Key words: linear differential equation, fundamental solutions system, control system, global attainability, global reducibility.
Received: 03.09.2008
Bibliographic databases:
Document Type: Article
UDC: 517.977.1+517.925.5
Language: Russian
Citation: I. N. Sergeev, “Controlling solutions to a linear differential equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3, 25–33
Citation in format AMSBIB
\Bibitem{Ser09}
\by I.~N.~Sergeev
\paper Controlling solutions to a linear differential equation
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 3
\pages 25--33
\mathnet{http://mi.mathnet.ru/vmumm873}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664495}
\zmath{https://zbmath.org/?q=an:1304.34021}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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