Abstract
In the present paper, we consider a class of functional difference equations with periodic coefficients. We establish criteria for asymptotic stability of the zero solution to the equations and obtain estimates characterizing the decay rates of solutions to these equations at infinity.
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Acknowledgements
The authors are supported by the Russian Foundation for Basic Research (project no. 19-01-00754).
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Demidenko, G.V., Matveeva, I.I. (2020). On Estimates of Solutions to One Class of Functional Difference Equations with Periodic Coefficients. In: Demidenko, G., Romenski, E., Toro, E., Dumbser, M. (eds) Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy. Springer, Cham. https://doi.org/10.1007/978-3-030-38870-6_14
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