Existence of nonoscillatory solutions of higher-order neutral delay difference equations with variable coefficients |
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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 |
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Abstract: | In this paper, we consider the following higher-order neutral delay difference equations with positive and negative coefficients: Δm(xn + cxn−k) + pnxn−r − qnxn−l = 0, n≥n0, where c ϵ R, m ⩾ 1, k ⩾ 1, r, l ⩾ 0 are integers, and {pn}∞n=n0 and {qn}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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