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On linear almost periodic pulse systems

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Ukrainian Mathematical Journal Aims and scope

Abstract

For a linear almost periodic system under pulse influence, the conditions are established under which this system is reducible (by a linear change of variables with a discontinuous almost periodic matrix) to a system without pulses but with a Bohr almost periodic right-hand side. The set of linear almost periodic pulse systems possessing only bounded solutions is studied.

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Authors and Affiliations

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

    V. I. Tkachenko

Authors
  1. V. I. Tkachenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 105–113, January, 1993.

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Tkachenko, V.I. On linear almost periodic pulse systems. Ukr Math J 45, 116–125 (1993). https://doi.org/10.1007/BF01062044

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  • DOI: https://doi.org/10.1007/BF01062044

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