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Estimates of solutions to the linear differential equations of neutral type with several delays of the argument

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Abstract

Under study is a systemof linear differential equations of neutral type with several delays of the argument. We obtain the conditions on the matrix coefficients of the system under which all solutions decrease with an exponential rate at infinity. Using some functionals of Lyapunov-Krasovskii type, the uniform estimates of solutions are established.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    G. V. Demidenko, E. S. Vodop’yanov & M. A. Skvortsova

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    G. V. Demidenko & M. A. Skvortsova

Authors
  1. G. V. Demidenko
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  2. E. S. Vodop’yanov
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  3. M. A. Skvortsova
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Correspondence to G. V. Demidenko.

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Original Russian Text © G.V. Demidenko, E.S. Vodop’yanov, M.A. Skvortsova, 2013, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2013, Vol. XVI, No. 3, pp. 53–60.

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Demidenko, G.V., Vodop’yanov, E.S. & Skvortsova, M.A. Estimates of solutions to the linear differential equations of neutral type with several delays of the argument. J. Appl. Ind. Math. 7, 472–479 (2013). https://doi.org/10.1134/S1990478913040030

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  • DOI: https://doi.org/10.1134/S1990478913040030

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