New oscillation criteria for first-order delay difference equations
In this paper, some new oscillation criteria are obtained for the first-order delay difference equation x(n+1) - x(n) + k(k)/(k + 1)(k+1) x(n-k) + f(n, x(n-l1), . . . , x(n-ls)) = 0, n = 0, 1, 2, . . . , where k, l(1), l(2), . . . , l(s) are positive integer numbers, f is a function. Our results improve the known results in the literature. And some examples are given to demonstrate the advantage of our results. (C) 2004 Elsevier Ltd. All rights reserved.
oscillation difference equation