Pjy. Wong et Rp. Agarwal, COMPARISON-THEOREMS FOR THE OSCILLATION OF HIGHER-ORDER DIFFERENCE-EQUATIONS WITH DEVIATING ARGUMENTS, Mathematical and computer modelling, 24(12), 1996, pp. 39-48
The difference equation Delta(alpha)y + delta p(k)f(y(g(k))) = 0, wher
e p(k) is positive, is classified into four cases according to alpha i
s odd or even and delta is 1 or -1. In each case, we shall offer compa
rison theorems for the oscillation of the difference equation. Example
s are also included to illustrate the importance of the results obtain
ed.