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On the reduction principle in the theory of stability of motion

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Abstract

This paper deals with the development of Lyapunov's idea of reducing the problem of stability of the trivial solution of a system of higher-order differential equations to a similar problem for a system of lower order. Special attention is paid to the application of integral manifolds and approximate integral manifolds.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    O. B. Lykova

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 12, pp. 1653–1660, December, 1993.

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Lykova, O.B. On the reduction principle in the theory of stability of motion. Ukr Math J 45, 1861–1868 (1993). https://doi.org/10.1007/BF01061356

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  • DOI: https://doi.org/10.1007/BF01061356

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