Abstract
For a class of nonautonomous linear difference equations with bounded, nonnegative and uniformly primitive coefficients it is shown that the normalized positive solutions are asymptotically equivalent to the Perron vectors of the transition matrix at infinity.
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Acknowledgements
This work was supported in part by the Hungarian National Research, Development and Innovation Office grant no. KH130513 and Széchenyi 2020 under the EFOP-3.6.1-16-2016-00015.
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Pituk, M. (2020). A Note on Ergodicity for Nonautonomous Linear Difference Equations. In: Baigent, S., Bohner, M., Elaydi, S. (eds) Progress on Difference Equations and Discrete Dynamical Systems. ICDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 341. Springer, Cham. https://doi.org/10.1007/978-3-030-60107-2_2
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DOI: https://doi.org/10.1007/978-3-030-60107-2_2
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