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Exponential dichotomy of systems of linear difference equations with periodic coefficients

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Abstract

We study the problem of exponential dichotomy for the systems of linear difference equations with periodic coefficients. Some criterion is established for exponential dichotomy in terms of solvability of a special boundary value problem for a system of discrete Lyapunov equations. We also give estimates for dichotomy parameters.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia

    G. V. Demidenko & A. A. Bondar

Authors
  1. G. V. Demidenko
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  2. A. A. Bondar
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Corresponding author

Correspondence to G. V. Demidenko.

Additional information

Original Russian Text Copyright © 2016 Demidenko G.V. and Bondar A.A.

The authors were supported by the Russian Foundation for Basic Research (Grant 16–01–00592) and the Presidium of the Russian Academy of Sciences (Grant 0314–2015–0011).

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Demidenko, G.V., Bondar, A.A. Exponential dichotomy of systems of linear difference equations with periodic coefficients. Sib Math J 57, 969–980 (2016). https://doi.org/10.1134/S0037446616060045

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  • DOI: https://doi.org/10.1134/S0037446616060045

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