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Measure of reducible difference systems

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider a difference system with quasiperiodic coefficientsx n+1=Ax n+P(ϕn)xn, ϕn+1=ϕn+Ω An estimate is obtained of the measure of the set of those matrices A for which the given system is reducible to a system with constant coefficients.

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Literature cited

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Authors and Affiliations

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

    A. M. Samoilenko & A. A. Sukhomlin

Authors
  1. A. M. Samoilenko
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  2. A. A. Sukhomlin
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 11, pp. 1572–1575, November, 1990.

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Samoilenko, A.M., Sukhomlin, A.A. Measure of reducible difference systems. Ukr Math J 42, 1415–1418 (1990). https://doi.org/10.1007/BF01066201

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  • DOI: https://doi.org/10.1007/BF01066201

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