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

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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.

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Authors and Affiliations

  1. Faculty of Mathematics, Southern Federal University, ul. Mil’chakova 8a, Rostov-on-Don, 344090, Russia

    E. V. Krutenko & V. B. Levenshtam

  2. 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

    V. B. Levenshtam

Authors
  1. E. V. Krutenko
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  2. V. B. Levenshtam
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Correspondence to V. B. Levenshtam.

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Original Russian Text © E.V. Krutenko, V.B. Levenshtam, 2009, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2009, Vol. 49, No. 12, pp. 2144–2155.

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Krutenko, E.V., Levenshtam, V.B. Asymptotic analysis of certain systems of linear differential equations with a large parameter. Comput. Math. and Math. Phys. 49, 2047–2058 (2009). https://doi.org/10.1134/S0965542509120057

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  • DOI: https://doi.org/10.1134/S0965542509120057

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