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Matematicheskie Trudy, 2010, Volume 13, Number 2, Pages 128–138 (Mi mt201)  

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

On a recurrence method for solving a singularly perturbed Cauchy problem for a second order equation

T. Sh. Kal'menova, A. Sh. Shaldanbaevb

a Institute for Problems of Informatics and Control Sciences, Almaty, Kazakhstan
b M. Auezov South Kazakhstan State University, Shymkent, Kazakhstan
Full-text PDF (158 kB) Citations (5)
References:
Abstract: In the present article, the method of deviating argument is applied to solving a singularly perturbed Cauchy problem for an ordinary differential equation of the second order with variable coefficients.
Key words: singular Cauchy problem, differential equation with deviating argument, spectral resolutions of selfadjoint operators.
Received: 19.03.2010
English version:
Siberian Advances in Mathematics, 2011, Volume 21, Issue 4, Pages 274–281
DOI: https://doi.org/10.3103/S1055134411040055
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: T. Sh. Kal'menov, A. Sh. Shaldanbaev, “On a recurrence method for solving a singularly perturbed Cauchy problem for a second order equation”, Mat. Tr., 13:2 (2010), 128–138; Siberian Adv. Math., 21:4 (2011), 274–281
Citation in format AMSBIB
\Bibitem{KalSha10}
\by T.~Sh.~Kal'menov, A.~Sh.~Shaldanbaev
\paper On a~recurrence method for solving a~singularly perturbed Cauchy problem for a~second order equation
\jour Mat. Tr.
\yr 2010
\vol 13
\issue 2
\pages 128--138
\mathnet{http://mi.mathnet.ru/mt201}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2789958}
\elib{https://elibrary.ru/item.asp?id=15558570}
\transl
\jour Siberian Adv. Math.
\yr 2011
\vol 21
\issue 4
\pages 274--281
\crossref{https://doi.org/10.3103/S1055134411040055}
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  • https://www.mathnet.ru/eng/mt/v13/i2/p128
  • 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
    Математические труды Siberian Advances in Mathematics
     
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