The authors consider second-order difference equations of the type
Delta((Deltay(n))(alpha)) + q(n)y(sigma (n))(alpha) =0, (E)
where alpha > 0 is the ratio of odd positive integers, {q(n)} is a positive
sequence, and {sigma (n)} is a positive increasing sequence of integers wi
th sigma (n) --> infinity as n --> infinity. They give some oscillation and
comparison results for equation (E). (C) 2001 Elsevier Science Ltd. All ri
ghts reserved.