Abstract
We obtain an asymptotic expansion for a solution to an mth order nonhomogeneous differential-difference equation of retarded or neutral type. Account is taken of the influence of the roots of the characteristic equation. The exact asymptotics of the remainder is established depending on the asymptotic properties of the free term of the equation.
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Original Russian Text Copyright © 2012 Sgibnev M.S.
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Translated from Sibirskiı Matematicheskiı Zhurnal, Vol. 53, No. 6, pp. 1413–1432, November–December, 2012.
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Sgibnev, M.S. Behavior at infinity of a solution to a differential-difference equation. Sib Math J 53, 1139–1154 (2012). https://doi.org/10.1134/S0037446612060183
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DOI: https://doi.org/10.1134/S0037446612060183