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Sbornik: Mathematics, 2003, Volume 194, Issue 5, Pages 641–668
DOI: https://doi.org/10.1070/SM2003v194n05ABEH000733
(Mi sm733)
 

This article is cited in 5 scientific papers (total in 5 papers)

The defining boundary conditions and the degenerate problem for elliptic boundary-value problems with a small parameter in the highest derivatives

S. A. Golopuz

Vladimir State University
References:
Abstract: For an elliptic equation with a small parameter multiplying the highest derivatives one considers a boundary-value problem such that some of the orders of the last $p$ boundary conditions are congruent modulo $2p$ (here $2p$ is the difference between the orders of the perturbed and the non-perturbed equations). In the case when no three of them are congruent modulo $2p$, associated boundary conditions are obtained and results on the asymptotic expansion are established.
Received: 04.06.2002
Bibliographic databases:
UDC: 517.956
MSC: Primary 35B25; Secondary 35J55
Language: English
Original paper language: Russian
Citation: S. A. Golopuz, “The defining boundary conditions and the degenerate problem for elliptic boundary-value problems with a small parameter in the highest derivatives”, Sb. Math., 194:5 (2003), 641–668
Citation in format AMSBIB
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\by S.~A.~Golopuz
\paper The defining boundary conditions and the~degenerate problem for
elliptic boundary-value problems with a~small parameter in the~highest derivatives
\jour Sb. Math.
\yr 2003
\vol 194
\issue 5
\pages 641--668
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Linking options:
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  • https://doi.org/10.1070/SM2003v194n05ABEH000733
  • https://www.mathnet.ru/eng/sm/v194/i5/p3
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:549
    Russian version PDF:236
    English version PDF:24
    References:84
    First page:2
     
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