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On approximation of systems with delay and their stability

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Nonlinear Oscillations

Abstract

We study the problem of the approximation of differential equations with delay by a system of ordinary differential equations. We analyze the qualitative behavior of solutions of the original system and the approximating system and construct an algorithm for the investigation of the stability of solutions of systems with delay.

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Authors and Affiliations

  1. Chernivtsi National University, Chernivtsi

    O. V. Matvii & I. M. Cherevko

Authors
  1. O. V. Matvii
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  2. I. M. Cherevko
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Translated from Neliniini Kolyvannya, Vol. 7, No. 2, pp. 208–216, April–June, 2004.

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Matvii, O.V., Cherevko, I.M. On approximation of systems with delay and their stability. Nonlinear Oscill 7, 207–215 (2004). https://doi.org/10.1007/s11072-005-0006-x

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  • DOI: https://doi.org/10.1007/s11072-005-0006-x

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