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Lyapunov functionals of constant signs in the stability problem for a functional-differential equation of neutral type

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Abstract

We present a generalization of the Lyapunov functional method and use it to study the stability of nonautonomous functional-differential equations of neutral type with finite delay. This generalization is based on constructing the limit equations and the limit functionals.

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Authors and Affiliations

  1. Kama State Engineering and Economic Academy, Naberezhnye Chelny, Kama, Russia

    S. V. Pavlikov

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  1. S. V. Pavlikov
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Correspondence to S. V. Pavlikov.

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Original Russian Text © S. V. Pavlikov, 2008, published in Matematicheskie Zametki, 2008, Vol. 83, No. 3, pp. 417–427.

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Pavlikov, S.V. Lyapunov functionals of constant signs in the stability problem for a functional-differential equation of neutral type. Math Notes 83, 378–388 (2008). https://doi.org/10.1134/S0001434608030085

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  • DOI: https://doi.org/10.1134/S0001434608030085

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