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Asymptotic analysis of linear differential equations with a large parameter: the resonance case

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Abstract

We construct completely justified asymptotics for solutions to some classes of linear ordinary differential equations with slow and fast coefficients in presence of resonance conditions.

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Authors and Affiliations

  1. Rostov-on-Don Southern Mathematical Institute, Southern Federal University, Vladikavkaz, Russia

    V. B. Levenshtam

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  1. V. B. Levenshtam
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Correspondence to V. B. Levenshtam.

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Original Russian Text Copyright © 2012 Levenshtam V. B.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 1, pp. 124–131, January–February, 2012.

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Levenshtam, V.B. Asymptotic analysis of linear differential equations with a large parameter: the resonance case. Sib Math J 53, 100–105 (2012). https://doi.org/10.1134/S0037446612010089

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  • DOI: https://doi.org/10.1134/S0037446612010089

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