Existence of nonoscillatory solutions of higher-order neutral delay difference equations with variable coefficients期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Existence of nonoscillatory solutions of higher-order neutral delay difference equations with variable coefficients

Affiliation:	Department of Mathematics Xiangtan University, Xiangtan Hunan 411105, P.R. China;Department of Applied Mathematics Ocean University of Qingdao Qingdao, 266003, P.R. China

Abstract:	In this paper, we consider the following higher-order neutral delay difference equations with positive and negative coefficients: Δ^m(x_n + cx_n−k) + p_nx_n−r − q_nx_n−l = 0, n≥n₀, where c ϵ R, m ⩾ 1, k ⩾ 1, r, l ⩾ 0 are integers, and {p_n}^∞_n=n₀ and {q_n}_n=n₀^∞ are sequences of nonnegative real numbers. We obtain the global results (with respect to c) which are some sufficient conditions for the existences of nonoscillatory solutions.

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