Email this article Exponential dichotomy of systems of linear difference equations with periodic coefficients
- Authors: Demidenko G.V.1, Bondar A.A.1
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Affiliations:
- Sobolev Institute of Mathematics, Novosibirsk State University
- Issue: Vol 57, No 6 (2016)
- Pages: 969-980
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170824
- DOI: https://doi.org/10.1134/S0037446616060045
- ID: 170824
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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.
About the authors
G. V. Demidenko
Sobolev Institute of Mathematics, Novosibirsk State University
Author for correspondence.
Email: demidenk@math.nsc.ru
Russian Federation, Novosibirsk
A. A. Bondar
Sobolev Institute of Mathematics, Novosibirsk State University
Email: demidenk@math.nsc.ru
Russian Federation, Novosibirsk
