Oscillatory behavior of solutions of Volterra summation equations

Sufficient conditions for the oscillation of solutions of [GRAPHICS] are obtained. Here, {p(n)} is a sequence, l is an element of N = {0, 1, 2,. ..}, L(n,s) > 0, for n greater than or equal to s is an element of N, and L (n, s) = 0, if n < s, ug(u) > 0, for u not equal 0, phi --> K(n, s, phi) ma ps bounded sets into bounded sets, and for all (n, s) is an element of N x N, phi K(n, s, phi) greater than or equal to 0 if phi not equal 0. (C) 1999 Elsevier Science Ltd. All rights reserved.