Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 4, Pages 70–72 (Mi vmumm520)  
This article is cited in 1 scientific paper (total in 1 paper)

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Maximum of action for Hamiltonian systems with unilateral constraints

L. S. Otradnova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Hamilton's variational principle for mechanical systems with unilateral constraints is considered. It is shown that the action functional attains its local maximum on the class of variations lying inside the area allowed for the movement. An example is given.
Key words: Hamilton's variational principle, action functional, unilateral constraints.
Funding agency Grant number
Russian Foundation for Basic Research 09-08-00925
10-01-00406
12-08-00591
Received: 19.10.2011
English version:
Moscow University Mechanics Bulletin, 2012, Volume 67, Issue 4, Pages 103–104
DOI: https://doi.org/10.3103/S0027133012040061
Bibliographic databases:
Document Type: Article
UDC: 531.01
Language: Russian
Citation: L. S. Otradnova, “Maximum of action for Hamiltonian systems with unilateral constraints”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 4, 70–72; Moscow University Mechanics Bulletin, 67:4 (2012), 103–104
Citation in format AMSBIB
\Bibitem{Otr12}
\by L.~S.~Otradnova
\paper Maximum of action for Hamiltonian systems with unilateral constraints
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 4
\pages 70--72
\mathnet{http://mi.mathnet.ru/vmumm520}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2012
\vol 67
\issue 4
\pages 103--104
\crossref{https://doi.org/10.3103/S0027133012040061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84867212917}
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    • This publication is cited in the following 1 articles:
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