Email this article Stability of discrete systems with nonnegative coefficients in the space of continuous bounded functions on a locally compact group
- Authors: Gaishun I.V.1
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Affiliations:
- Institute of Mathematics of the National Academy of Sciences of Belarus
- Issue: Vol 53, No 4 (2017)
- Pages: 445-449
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154337
- DOI: https://doi.org/10.1134/S0012266117040036
- ID: 154337
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Abstract
We establish some properties of the spectrum of the shift operator with nonnegative coefficients on the space of bounded functions on a locally compact commutative group and use them to study the asymptotic properties of linear discrete systems with this operator.
About the authors
I. V. Gaishun
Institute of Mathematics of the National Academy of Sciences of Belarus
Author for correspondence.
Email: gaishun@im.bas-net.by
Belarus, Minsk, 220072
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