Some new criteria for the oscillation of odd-order difference equations of
the form
Delta(m)x(n) = p(n)Delta(m-1)x(n+tau) + q(n) \x(gn)\(gamma) sgn x(gn)
and
Delta(m)x(n) + p(n)Delta(m-1)x(n-tau) + q(n) \x(gn\)(gamma) sgn x(gn) = 0
are established. (C) 1999 Elsevier Science Ltd. All rights reserved.