Oscillation and comparison theorems for half-linear second-order difference equations
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 with sigma (n) --> infinity as n --> infinity. They give some oscillation and comparison results for equation (E). (C) 2001 Elsevier Science Ltd. All rights reserved.
oscillation comparison theorems second-order difference equations half-linear equations