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/