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An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder

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Abstract

We obtain an asymptotic expansion of the solution to a system of first order integrodifferential equations taking into account the influence of the roots of the characteristic equation. We establish exact asymptotics for the remainder in dependence on the asymptotic properties of original functions.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    M. S. Sgibnev

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  1. M. S. Sgibnev
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Correspondence to M. S. Sgibnev.

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Original Russian Text Copyright © 2008 Sgibnev M. S.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 3, pp. 650–667, May–June, 2008.

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Sgibnev, M.S. An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder. Sib Math J 49, 524–538 (2008). https://doi.org/10.1007/s11202-008-0050-8

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  • DOI: https://doi.org/10.1007/s11202-008-0050-8

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