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Specific Features of the Construction of a Regular Asymptotic Solution to a Singularly Perturbed Volterra System of the Second Kind

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Abstract

We study the limit system of Volterra equations of the second kind for a singularly perturbed integro-differential system and solve the problem of constructing the solution component regularized with respect to ε.

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Institute,”, Moscow, 111250, Russia

    A. G. Eliseev

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  1. A. G. Eliseev
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Correspondence to A. G. Eliseev.

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Original Russian Text © A.G. Eliseev, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 12, pp. 1678–1686.

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Eliseev, A.G. Specific Features of the Construction of a Regular Asymptotic Solution to a Singularly Perturbed Volterra System of the Second Kind. Diff Equat 54, 1636–1645 (2018). https://doi.org/10.1134/S0012266118120091

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  • DOI: https://doi.org/10.1134/S0012266118120091

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