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Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms

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Abstract

Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains of the zero solution, and provide estimates for solutions characterizing the stabilization rate at infinity.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia

    G. V. Demidenko, I. I. Matveeva & M. A. Skvortsova

Authors
  1. G. V. Demidenko
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  2. I. I. Matveeva
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  3. M. A. Skvortsova
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Corresponding authors

Correspondence to G. V. Demidenko, I. I. Matveeva or M. A. Skvortsova.

Additional information

Dedicated to Yu. G. Reshetnyak on the occasion of his 90th birthday.

Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 5, pp. 1063–1079.

The authors were supported by the Russian Foundation for Basic Research (Grant 18-29-10086).

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Demidenko, G.V., Matveeva, I.I. & Skvortsova, M.A. Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms. Sib Math J 60, 828–841 (2019). https://doi.org/10.1134/S0037446619050069

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  • DOI: https://doi.org/10.1134/S0037446619050069

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