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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 3, Pages 438–444 (Mi zvmmf316)  
This article is cited in 7 scientific papers (total in 7 papers)

Asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case

A. V. Nesterov, O. V. Shuliko

Obninsk State Technical University for Nuclear Power Engineering, Studgorodok 1, Obninsk, Kaluga oblast, 249040, Russia
Full-text PDF (793 kB) Citations (7)
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Abstract: A formal asymptotic representation of the solution to an initial-boundary value problem for a singularly perturbed system of first-order partial differential equations with small nonlinearity is constructed.
Key words: small parameter, singular perturbations, partial differential equations, asymptotic representation of solutions.
Received: 28.12.2005
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 3, Pages 420–426
DOI: https://doi.org/10.1134/S0965542507030074
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. V. Nesterov, O. V. Shuliko, “Asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case”, Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007), 438–444; Comput. Math. Math. Phys., 47:3 (2007), 420–426
Citation in format AMSBIB
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\by A.~V.~Nesterov, O.~V.~Shuliko
\paper Asymptotics of the solution to a~singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 3
\pages 438--444
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2348293}
\zmath{https://zbmath.org/?q=an:05200992}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 3
\pages 420--426
\crossref{https://doi.org/10.1134/S0965542507030074}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247138448}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i3/p438
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:244
    Full-text PDF :115
    References:47
    First page:1
     
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