In the paper sufficient conditions for the difference equation :
Δxn = Σi=0 r an (i) xn+i
to have a solution which tends to a constant, are given. Applying these conditions, an asymptotic formula for a solution of an m-th order equation is presented.
@article{urn:eudml:doc:41211,
title = {On the asymptotic behavior of solutions of linear difference equations.},
journal = {Publicacions Matem\`atiques},
volume = {38},
year = {1994},
pages = {3-9},
mrnumber = {MR1291948},
zbl = {0842.39003},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41211}
}
Popenda, Jerzy; Schmeidel, Ewa. On the asymptotic behavior of solutions of linear difference equations.. Publicacions Matemàtiques, Tome 38 (1994) pp. 3-9. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41211/