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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 12, Pages 2144–2155 (Mi zvmmf4795)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic analysis of certain systems of linear differential equations with a large parameter

E. V. Krutenkoa, V. B. Levenshtamab

a Faculty of Mathematics, Southern Federal University, ul. Mil'chakova 8a, Rostov-on-Don, 344090, Russia
b Southern Mathematical Institute, Vladikavkaz Research Center, Russian Academy of Sciences and the Government of the Republic of North Ossetia-Alania, ul. Markusa 22, Vladikavkaz, 362027, Republic of North Ossetia-Alania, Russia
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Abstract: Two classes of systems of linear ordinary differential equations containing high-frequency terms proportional to certain positive powers of the oscillation frequency are considered. Complete asymptotic expansions of fundamental systems of solutions are constructed and substantiated.
Key words: systems of linear differential equations with a large parameter, construction and substantiation of complete asymptotic expansions of solutions.
Received: 02.04.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 12, Pages 2047–2058
DOI: https://doi.org/10.1134/S0965542509120057
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: E. V. Krutenko, V. B. Levenshtam, “Asymptotic analysis of certain systems of linear differential equations with a large parameter”, Zh. Vychisl. Mat. Mat. Fiz., 49:12 (2009), 2144–2155; Comput. Math. Math. Phys., 49:12 (2009), 2047–2058
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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