Key points are not available for this paper at this time.
Introduction. The purpose of this note is to establish some limit theorems for the non-linear recurrence relations 1.1 , i= 1,2, …, N ; n ≥ 0 under certain assumptions concerning the initial values c i = x i (0), and the coefficient matrices A (q) = (a ij (q)).
Richard Bellman (Sun,) studied this question.