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Asymptotic Properties of Solutions to Systems of Neutral Type Differential Equations with Variable Delay

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We find sufficient conditions for the asymptotic stability of the zero solution to a delay system of linear differential equations of neutral type and estimate the decay rate. A modified Lyapunov–Krasovskii functional is used.

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Authors and Affiliations

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

    M. A. Skvortsova

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

    M. A. Skvortsova

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  1. M. A. Skvortsova
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Correspondence to M. A. Skvortsova.

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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 13, No. 4, 2013, pp. 143-152.

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Skvortsova, M.A. Asymptotic Properties of Solutions to Systems of Neutral Type Differential Equations with Variable Delay. J Math Sci 205, 455–463 (2015). https://doi.org/10.1007/s10958-015-2259-y

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  • DOI: https://doi.org/10.1007/s10958-015-2259-y

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