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Mathematics of the USSR-Sbornik, 1981, Volume 40, Issue 1, Pages 21–50
DOI: https://doi.org/10.1070/SM1981v040n01ABEH001634
(Mi sm2711)
 

On the strong extremum principle for a D-$(\Pi,\Omega)$-elliptically connected operator of second order

L. I. Kamynin, B. N. Khimchenko
References:
Abstract: In this paper the strong extremum principle is proved for a certain new class of second order operators with nonnegative characteristic form, without requiring the smoothness of their coefficients, which is essential in the converse of Rashevskii's theorem on completely nonholonomic systems.
Bibliography: 19 titles.
Received: 30.10.1978 and 20.06.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 112(154), Number 1(5), Pages 24–55
Bibliographic databases:
UDC: 517.947.42
MSC: Primary 47E05; Secondary 47B99
Language: English
Original paper language: Russian
Citation: L. I. Kamynin, B. N. Khimchenko, “On the strong extremum principle for a D-$(\Pi,\Omega)$-elliptically connected operator of second order”, Mat. Sb. (N.S.), 112(154):1(5) (1980), 24–55; Math. USSR-Sb., 40:1 (1981), 21–50
Citation in format AMSBIB
\Bibitem{KamKhi80}
\by L.~I.~Kamynin, B.~N.~Khimchenko
\paper On the strong extremum principle for a~D-$(\Pi,\Omega)$-elliptically connected operator of second order
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 112(154)
\issue 1(5)
\pages 24--55
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=575931}
\zmath{https://zbmath.org/?q=an:0466.35015|0444.35007}
\transl
\jour Math. USSR-Sb.
\yr 1981
\vol 40
\issue 1
\pages 21--50
\crossref{https://doi.org/10.1070/SM1981v040n01ABEH001634}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MM63900002}
Linking options:
  • https://www.mathnet.ru/eng/sm2711
  • https://doi.org/10.1070/SM1981v040n01ABEH001634
  • https://www.mathnet.ru/eng/sm/v154/i1/p24
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    Abstract page:242
    Russian version PDF:80
    English version PDF:10
    References:26
     
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