Oscillation of delay difference equations with several delays

In this paper, we obtain some new oscillation criteria for the difference equation with several delays xn+1 − xn + m i=1 pi(n)xn−ki = 0, n= 0, 1, 2, . . . , which improve the existing results in the literature. The mistakes in Comput. Math. Appl. 44 (2002) 817–821 are pointed out.  2003 Elsevier Inc. All rights reserved.