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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 7 scientific papers (total in 7 papers)

Asymptotic integration of singularly perturbed problems

S. A. Lomov, A. G. Eliseev
English version PDF (2870 kB) Citations (7) Russian version article
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DOI: https://doi.org/10.1070/RM1988v043n03ABEH001752
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
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”, 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 Russian Math. Surveys
\yr 1988
\vol 43
\issue 3
\pages 1--63
\mathnet{http://mi.mathnet.ru/eng/rm1889}
\crossref{https://doi.org/10.1070/RM1988v043n03ABEH001752}
\mathscinet{https://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}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U421100001}
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  • https://doi.org/10.1070/RM1988v043n03ABEH001752
  • https://www.mathnet.ru/eng/rm/v43/i3/p3
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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