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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 82, Issue 1, Pages 65–85
DOI: https://doi.org/10.1070/SM1995v082n01ABEH003552 (Mi sm897) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Theorems on the existence of an implicit function in the theory of necessary and sufficient conditions for an extremum

S. V. Burtsev
English version PDF (1135 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1995v082n01ABEH003552
Abstract: The implicit function theorem and its generalizations are widely used in the theory of extremum problems. Two such generalizations are given in this paper. As applications of them certain results on necessary and sufficient conditions for an extremum are proved.
Received: 18.02.1993
Russian version:
Matematicheskii Sbornik, 1994, Volume 185, Number 5, Pages 79–102
Bibliographic databases:
UDC: 517.97+517.275
MSC: 26B10, 49J27, 49K27
Language: English
Original paper language: Russian
Citation: S. V. Burtsev, “Theorems on the existence of an implicit function in the theory of necessary and sufficient conditions for an extremum”, Mat. Sb., 185:5 (1994), 79–102; Russian Acad. Sci. Sb. Math., 82:1 (1995), 65–85
Citation in format AMSBIB
\Bibitem{Bur94}
\by S.~V.~Burtsev
\paper Theorems on the~existence of an~implicit function in the~theory of necessary and sufficient conditions for an~extremum
\jour Mat. Sb.
\yr 1994
\vol 185
\issue 5
\pages 79--102
\mathnet{http://mi.mathnet.ru/sm897}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1275972}
\zmath{https://zbmath.org/?q=an:0841.49010}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 82
\issue 1
\pages 65--85
\crossref{https://doi.org/10.1070/SM1995v082n01ABEH003552}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RR54800003}
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  • https://doi.org/10.1070/SM1995v082n01ABEH003552
  • https://www.mathnet.ru/eng/sm/v185/i5/p79
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:998
    Russian version PDF:350
    English version PDF:16
    References:63
    First page:1
     
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