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Mathematics of the USSR-Sbornik, 1983, Volume 44, Issue 1, Pages 125–132
DOI: https://doi.org/10.1070/SM1983v044n01ABEH000956 (Mi sm2447) 		 
This article is cited in 32 scientific papers (total in 32 papers)

On the alternating integral of Pontryagin

M. S. Nikol'skii
English version PDF (486 kB) Citations (32)
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DOI: https://doi.org/10.1070/SM1983v044n01ABEH000956
Abstract: Pontryagin introduced the notion of alternating integral to solve linear differential games of pursuit. To construct this integral one uses, in particular, Riemann integration of certain multivalued mappings.
Pontryagin posed the problem of constructing an alternating integral in such a way that the operation of integrating multivalued mappings is absent. One of the possible methods of such a construction is presented in this paper.
Bibliography: 6 titles.
Received: 08.09.1980
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1981, Volume 116(158), Number 1(9), Pages 136–144
Bibliographic databases:
Document Type: Article
UDC: 519.9
MSC: Primary 28B20; Secondary 90D25, 90D26
Language: English
Original paper language: Russian
Citation: M. S. Nikol'skii, “On the alternating integral of Pontryagin”, Mat. Sb. (N.S.), 116(158):1(9) (1981), 136–144; Math. USSR-Sb., 44:1 (1983), 125–132
Citation in format AMSBIB
\Bibitem{Nik81}
\by M.~S.~Nikol'skii
\paper On the alternating integral of Pontryagin
\jour Mat. Sb. (N.S.)
\yr 1981
\vol 116(158)
\issue 1(9)
\pages 136--144
\mathnet{http://mi.mathnet.ru/sm2447}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=632494}
\zmath{https://zbmath.org/?q=an:0495.90099|0468.90098}
\transl
\jour Math. USSR-Sb.
\yr 1983
\vol 44
\issue 1
\pages 125--132
\crossref{https://doi.org/10.1070/SM1983v044n01ABEH000956}
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    References:40
     
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