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Stability of Steady-State Solutions of Systems of Nonlinear Nonautonomous Delay Differential Equations

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Abstract

Sufficient conditions for the stability of steady-state solutions of systems of nonautonomous linear and nonlinear differential equations with time-dependent delay are obtained in terms of coefficients. These sufficient conditions are written as inequalities relating quantities that can be calculated directly from the right-hand side of the system of equations.

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Authors and Affiliations

  1. Penza State University, Penza, 440026, Russia

    I. V. Boikov

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  1. I. V. Boikov
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Correspondence to I. V. Boikov.

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Original Russian Text © I.V. Boikov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 4, pp. 435–457.

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Boikov, I.V. Stability of Steady-State Solutions of Systems of Nonlinear Nonautonomous Delay Differential Equations. Diff Equat 54, 427–449 (2018). https://doi.org/10.1134/S001226611804002X

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  • DOI: https://doi.org/10.1134/S001226611804002X

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