solutions converging to zero
نویسندگان
چکیده
The aim of this note is to show that the following difference equation xn+1 = α + xn−k ∑k−1 i=0 cixn−i , n = 0, 1, . . . , where k ∈ N, ci ≥ 0, i = 0, . . . , k− 1, ∑k−1 i=0 ci = 1, and α < −1, has solutions which monotonically converge to zero. This result shows the existence of such solutions which was not shown in the recently accepted paper: A. E. Hamza, On the recursive sequence xn+1 = α + xn−1 xn , J. Math. Anal. Appl. (in press).
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