We study the asymptotic properties of solutions to nonautonomous dierence equationsof the form\delta^m x_n = a_n f ( n, x_{\sima(n)} ) + b_n,\quad f :\mathbb{N} \times \mathbb{R} \to \mathbb{R} ,\quad \sigma \mathbb{N} \to \mathbb{N}.Using the iterated remainder operator and asymptotic dierence pairs we establish some results concerning approximative solutions and approximations of solutions. Our approachallows us to control the degree of approximation.
@article{521,
title = {Approximation of solutions to nonautonomous difference equations},
journal = {Tatra Mountains Mathematical Publications},
volume = {72},
year = {2019},
language = {EN},
url = {http://dml.mathdoc.fr/item/521}
}
Migda, Janusz; Migda, Małgorzata. Approximation of solutions to nonautonomous difference equations. Tatra Mountains Mathematical Publications, Tome 72 (2019) . http://gdmltest.u-ga.fr/item/521/