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On Stability of Motion of Polynomial Systems with Aftereffect*

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Sufficient conditions for the stability and boundedness of the solutions of a polynomial system with aftereffect are established based on new estimates of the Lyapunov functional (function). The results obtained are applied to a polynomial system with an aftereffect of special form and the problem of the stability of a cubic polynomial system on a finite interval.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St, Kyiv, 03057, Ukraine

    A. A. Marnynyuk & V. O. Chernienko

Authors
  1. A. A. Marnynyuk
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  2. V. O. Chernienko
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Correspondence to A. A. Marnynyuk.

Additional information

*This study was sponsored by the budgetary program Support of Priority Areas of Research (KPKVK 6541230).

Translated from Prykladna Mekhanika, Vol. 58, No. 4, pp. 3–11, July–August 2022.

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Marnynyuk, A.A., Chernienko, V.O. On Stability of Motion of Polynomial Systems with Aftereffect*. Int Appl Mech 58, 373–380 (2022). https://doi.org/10.1007/s10778-022-01162-1

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  • DOI: https://doi.org/10.1007/s10778-022-01162-1

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