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OSCILLATION OF CERTAIN nTH ORDER DIFFERENCE EQUATION

Chang Yu (Dept. of Math., Qufu Normal University, Qufu 273165)  
Discrete aralogues are investigated. There well-known results on oscillation of L_nx(t) + q(t)f(x(g(t))) = 0~([2]), where L_kx(t) = a_k(t)(L_k--1x(t))', L_0x(t) = x(t), k = 1, 2,..., n; a_0(t) = a_n(t) =1. In this paper,some oscillation criteria of nth order. difference equation: L_nX_k+qkf(x_(gk)) = 0, (E) are obtained, where △ is the forward difference operator, i.e. △xk = xk+1 -- xk. Lmxk = (Lm-1xk), m = 1, 2,... ,n. L0xk= xk; ank = 1 for k ∈N(0) = {0, 1, 2,...}.
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