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Siberian Mathematical Journal

, Volume 53, Issue 6, pp 1139–1154 | Cite as

Behavior at infinity of a solution to a differential-difference equation

  • M. S. SgibnevEmail author
Article

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.

Keywords

differential-difference equations retarded-type equation neutral-type equation asymptotic behavior characteristic equation 

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia

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