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Mathematics of the USSR-Sbornik, 1976, Volume 28, Issue 4, Pages 491–500
DOI: https://doi.org/10.1070/SM1976v028n04ABEH001665
(Mi sm2773)
 

On approximate methods of solving nonlinear boundary value problems with a small parameter

L. A. Kalyakin
References:
Abstract: Variational inequalities with a small parameter are considered, together with closely related nonlinear operator equations. The penalty method as applied to variational inequalities is studied, and Galerkin's method relative to nonlinear equations. Under conditions of monotonicity, coerciveness and hemicontinuity on the operators, uniform convergence (with respect to the small parameter) of the approximate solutions thus obtained to the exact solution is demonstrated.
Bibliography: 12 titles.
Received: 17.03.1975
Bibliographic databases:
UDC: 517.948
MSC: Primary 47H15; Secondary 65J05
Language: English
Original paper language: Russian
Citation: L. A. Kalyakin, “On approximate methods of solving nonlinear boundary value problems with a small parameter”, Math. USSR-Sb., 28:4 (1976), 491–500
Citation in format AMSBIB
\Bibitem{Kal76}
\by L.~A.~Kalyakin
\paper On approximate methods of solving nonlinear boundary value problems with a~small parameter
\jour Math. USSR-Sb.
\yr 1976
\vol 28
\issue 4
\pages 491--500
\mathnet{http://mi.mathnet.ru//eng/sm2773}
\crossref{https://doi.org/10.1070/SM1976v028n04ABEH001665}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=410494}
\zmath{https://zbmath.org/?q=an:0364.65040}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976EQ33200004}
Linking options:
  • https://www.mathnet.ru/eng/sm2773
  • https://doi.org/10.1070/SM1976v028n04ABEH001665
  • https://www.mathnet.ru/eng/sm/v141/i4/p548
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    Abstract page:429
    Russian version PDF:109
    English version PDF:10
    References:58
    First page:1
     
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