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Continuous relationship between a parameter and the solutions of impulse evolution systems

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Abstract

A theorem on continuous dependence of the solutions of a nonlinear impulse evolution system on a parameter is proved; this theorem can be used as a basis for an averaging principle.

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Authors and Affiliations

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

    Yu. V. Rogovchenko

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  1. Yu. V. Rogovchenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 8, pp. 1078–1083, August, 1992.

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Rogovchenko, Y.V. Continuous relationship between a parameter and the solutions of impulse evolution systems. Ukr Math J 44, 977–982 (1992). https://doi.org/10.1007/BF01057117

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  • DOI: https://doi.org/10.1007/BF01057117

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