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Estimation of solutions of nonautonomous systems

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Abstract

We study the problem of using the direct Lyapunov method to get estimates for solutions of a system of ordinary differential system in general form. Theorems on asymptotic stability and behavior of solutions are proved.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    V. E. Puzyrev

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  1. V. E. Puzyrev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 2, pp. 242–248, February, 1995.

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Puzyrev, V.E. Estimation of solutions of nonautonomous systems. Ukr Math J 47, 285–292 (1995). https://doi.org/10.1007/BF01056719

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  • DOI: https://doi.org/10.1007/BF01056719

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