Oscillations of higher-order linear difference equations
Consider the higher-order linear difference equation Delta (m+1)x(n-1) + p(n)x(n) = 0, n = 0, 1, 2,..., (*) where m greater than or equal to 1 is an odd integer, and {p(n)} is a sequence of nonnegative real numbers. We obtain several new sufficient conditions for the oscillation of all solutions of equation (*). Examples which dwell upon the importance of our results are also included. (C) 2001 Elsevier Science Ltd. All rights reserved.
difference equation oscillatory solutions