For the linear difference equation \[ x_{n+1} -a_n x_n = \sum _{i=0}^r a_n^{(i)}x_{n+i}, \;\;\; n \in N \] sufficient conditions for the existence of an asymptotically periodic solutions are given.
@article{107681,
author = {Jerzy Popenda and Ewa Schmeidel},
title = {On the asymptotically periodic solution of some linear difference equations},
journal = {Archivum Mathematicum},
volume = {035},
year = {1999},
pages = {13-19},
zbl = {1051.39010},
mrnumber = {1684519},
language = {en},
url = {http://dml.mathdoc.fr/item/107681}
}
Popenda, Jerzy; Schmeidel, Ewa. On the asymptotically periodic solution of some linear difference equations. Archivum Mathematicum, Tome 035 (1999) pp. 13-19. http://gdmltest.u-ga.fr/item/107681/
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