Bg. Zhang et Cj. Tian, NONEXISTENCE AND EXISTENCE OF POSITIVE SOLUTIONS FOR DIFFERENCE-EQUATIONS WITH UNBOUNDED DELAY, Computers & mathematics with applications (1987), 36(1), 1998, pp. 1-8
Consider the delay difference equation x(n+1) - x(n) + p(n)x(r(n)) = 0
, n = 0, 1, 2,..., where tau : N --> Z, tau(n) < n for n is an element
of N and lim(n-->infinity) tau(n) = infinity, {p(n)} is an element of
R. Some existence results of positive solutions and oscillation crite
ria for this equation are obtained. (C) 1998 Elsevier Science Ltd. All
rights reserved.