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Impulse systems with fixed moments of shocks of general position: The structure of the set of moments of the shocks

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Abstract

Ordinary differential equations with impulse action are considered at fixed moments of time when finite limits points are admitted to the set of moments of the “shocks.” The topological structure of this set is clarified: it must be resolvable, in particular nowhere dense in R.

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Literature cited

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Authors and Affiliations

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

    E. P. Trofimchuk & S. I. Trofimchuk

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  1. E. P. Trofimchuk
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  2. S. I. Trofimchuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 378–383, March, 1990.

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Trofimchuk, E.P., Trofimchuk, S.I. Impulse systems with fixed moments of shocks of general position: The structure of the set of moments of the shocks. Ukr Math J 42, 336–341 (1990). https://doi.org/10.1007/BF01057019

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  • DOI: https://doi.org/10.1007/BF01057019

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