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Analysis of Equiboundedness and Stability of the Motion of Essentially Nonlinear Systems

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International Applied Mechanics Aims and scope

A new approach for estimating the Lyapunov functions along the solutions of essentially nonlinear systems of equations of perturbed motion is proposed. As applications, the problems of β-boundedness and (α, β, J)-stability of motion of non-autonomous essentially nonlinear systems are considered.

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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. Martynyuk

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  1. A. A. Martynyuk
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Correspondence to A. A. Martynyuk.

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Translated from Prykladna Mekhanika, Vol. 59, No. 1, pp. 69–78, January–February 2023.

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Martynyuk, A.A. Analysis of Equiboundedness and Stability of the Motion of Essentially Nonlinear Systems. Int Appl Mech 59, 59–67 (2023). https://doi.org/10.1007/s10778-023-01199-w

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  • DOI: https://doi.org/10.1007/s10778-023-01199-w

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