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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 79, Issue 1, Pages 191–222
DOI: https://doi.org/10.1070/SM1994v079n01ABEH003608 (Mi sm995) 		 
This article is cited in 60 scientific papers (total in 60 papers)

Averaging of boundary value problems with a singular perturbation of the boundary conditions

G. A. Chechkin
English version PDF (1246 kB) Citations (60)
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DOI: https://doi.org/10.1070/SM1994v079n01ABEH003608
Abstract: Boundary value problems with different conditions on alternating small parts of the boundary are considered. An investigation is made of the behavior of solutions of such problems as the small parameter characterizing the period of change of the type of the boundary conditions goes to zero, and estimates are given for the deviation of these solutions from the solutions of the limit problem in various cases. The spectral properties of these problems are studied from a unified point of view on the basis of general methods (see [4], [9]).
Received: 23.04.1992
Russian version:
Matematicheskii Sbornik, 1993, Volume 184, Number 6, Pages 99–150
Bibliographic databases:
UDC: 517.9
MSC: Primary 35J25, 35J05; Secondary 73K10, 35B25
Language: English
Original paper language: Russian
Citation: G. A. Chechkin, “Averaging of boundary value problems with a singular perturbation of the boundary conditions”, Mat. Sb., 184:6 (1993), 99–150; Russian Acad. Sci. Sb. Math., 79:1 (1994), 191–222
Citation in format AMSBIB
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\by G.~A.~Chechkin
\paper Averaging of boundary value problems with a~singular perturbation of the~boundary conditions
\jour Mat. Sb.
\yr 1993
\vol 184
\issue 6
\pages 99--150
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1234592}
\zmath{https://zbmath.org/?q=an:0875.35009}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 79
\issue 1
\pages 191--222
\crossref{https://doi.org/10.1070/SM1994v079n01ABEH003608}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PP19200013}
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  • https://doi.org/10.1070/SM1994v079n01ABEH003608
  • https://www.mathnet.ru/eng/sm/v184/i6/p99
    • This publication is cited in the following 60 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:824
    Russian version PDF:284
    English version PDF:23
    References:77
    First page:1
     
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