OSCILLATION CRITERIA FOR HIGHER ORDER NEUTRAL DIFFERENCE EQUATIONS WITH OSCILLATING COEFFICIENT

摘要

In this paper sufficient conditions for oscillation of all bounded solutions of the equation Δ~m(x_n + p_nx_(n-τ)) + f(n, x_n,x_(n-σ)) = 0 where m ≥ 2, (p_n) is an oscillatory sequence of real numbers, lim_(n→∞)p_n = 0, τ and σ are positive integers, f : N×R×R→ R are established.