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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 156, Pages 84–88 (Mi into399)  

This article is cited in 4 scientific papers (total in 4 papers)

Asymptotic solution of a singularly perturbed Cauchy problem with a turning point

D. A. Tursunov, K. G. Kozhobekov

Osh State University
Full-text PDF (151 kB) Citations (4)
References:
Abstract: Using a modified method of boundary-layer functions, we construct a complete uniform asymptotic solution to the singularly perturbed Cauchy problem for a second-order linear inhomogeneous ordinary differential equation with a multiple turning point on the real axis.
Keywords: asymptotics, boundary-layer function, Cauchy problem, bisingular problem, turning point, generalized method of boundary-layer functions, singular perturbation.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 254, Issue 6, Pages 788–792
DOI: https://doi.org/10.1007/s10958-021-05340-3
Bibliographic databases:
Document Type: Article
UDC: 517.928.2
MSC: 34E20
Language: Russian
Citation: D. A. Tursunov, K. G. Kozhobekov, “Asymptotic solution of a singularly perturbed Cauchy problem with a turning point”, Mathematical Analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 156, VINITI, Moscow, 2018, 84–88; J. Math. Sci. (N. Y.), 254:6 (2021), 788–792
Citation in format AMSBIB
\Bibitem{TurKoz18}
\by D.~A.~Tursunov, K.~G.~Kozhobekov
\paper Asymptotic solution of a singularly perturbed Cauchy problem with a turning point
\inbook Mathematical Analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 156
\pages 84--88
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into399}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3939198}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 254
\issue 6
\pages 788--792
\crossref{https://doi.org/10.1007/s10958-021-05340-3}
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  • https://www.mathnet.ru/eng/into/v156/p84
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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    Abstract page:152
    Full-text PDF :43
    References:13
    First page:4
     
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