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Russian Mathematical Surveys, 1988, Volume 43, Issue 3, Pages 1–63
DOI: https://doi.org/10.1070/RM1988v043n03ABEH001752
(Mi rm1889)
 

This article is cited in 8 scientific papers (total in 8 papers)

Asymptotic integration of singularly perturbed problems

S. A. Lomov, A. G. Eliseev
References:
Abstract: In this paper there is review of modern theory of singular perturbation and account the principles of total asymptotic theory of the problems concerning singularities. Corresponding method is based on specify conception of asimptotic power series, on spectral operator's theory and exact description singularity depen­dence solutions of differential equation from perturbations.
135 refs.
Received: 20.10.1986
Russian version:
Uspekhi Matematicheskikh Nauk, 1988, Volume 43, Issue 3(261), Pages 3–53
Bibliographic databases:
Document Type: Article
UDC: 517.91/93
MSC: 34E15, 45M05, 47A11
Language: English
Original paper language: Russian
Citation: S. A. Lomov, A. G. Eliseev, “Asymptotic integration of singularly perturbed problems”, Uspekhi Mat. Nauk, 43:3(261) (1988), 3–53; Russian Math. Surveys, 43:3 (1988), 1–63
Citation in format AMSBIB
\Bibitem{LomEli88}
\by S.~A.~Lomov, A.~G.~Eliseev
\paper Asymptotic integration of singularly perturbed problems
\jour Uspekhi Mat. Nauk
\yr 1988
\vol 43
\issue 3(261)
\pages 3--53
\mathnet{http://mi.mathnet.ru/rm1889}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=955773}
\zmath{https://zbmath.org/?q=an:0668.34058|0647.34057}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1988RuMaS..43....1L}
\transl
\jour Russian Math. Surveys
\yr 1988
\vol 43
\issue 3
\pages 1--63
\crossref{https://doi.org/10.1070/RM1988v043n03ABEH001752}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U421100001}
Linking options:
  • https://www.mathnet.ru/eng/rm1889
  • https://doi.org/10.1070/RM1988v043n03ABEH001752
  • https://www.mathnet.ru/eng/rm/v43/i3/p3
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:828
    Russian version PDF:407
    English version PDF:20
    References:111
    First page:3
     
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