ABSTRACT
Theorem 2 Suppose that in (8} A= .\a is a simple root of {9). Moreover, the conditions (4) and (5} are satisfied, and there is 'Y E l 1 such that condition {6} is valid. Then, the system (8} has a solution y0(n) satisfying (g), as n -t +oo, v E eN is an eigenvector such that L(A0)v = AotJ and IJ.(j) = Ao + e(j) is solution ofdet(L(IJ.•J)+V(j,IJ.•J)-IJ.l] = 0 such thate(j) -t 0 asj -t +oo.
