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Asymptotic properties of the solution of a delay system

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Abstract

We consider a differential-difference system with constant delay of special form. We show that the derivative of the solution of the system tends to zero by the exponential law. This fact is used to construct a numerical solution for large times. We give an example of numerical simulation for a two-dimensional system.

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Authors and Affiliations

  1. Ural State University, Yekaterinburg, Russia

    B. G. Grebenshchikov & A. B. Lozhnikov

  2. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

    B. G. Grebenshchikov & A. B. Lozhnikov

Authors
  1. B. G. Grebenshchikov
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  2. A. B. Lozhnikov
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Additional information

Original Russian Text © B.G. Grebenshchikov, A.B. Lozhnikov, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 1, pp. 11–20.

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Grebenshchikov, B.G., Lozhnikov, A.B. Asymptotic properties of the solution of a delay system. Diff Equat 47, 10–19 (2011). https://doi.org/10.1134/S0012266111010022

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  • DOI: https://doi.org/10.1134/S0012266111010022

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