Li, QiaoluanLiang, HaiyanDong, WenleiZhang, Zhenguo2021-08-022021-08-022007-01-02Li, Q., Liang, H., Dong, W., & Zhang, Z. (2007). Existence of non-oscillatory solutions to higher-order mixed difference equations. <i>Electronic Journal of Differential Equations, 2007</i>(09), pp. 1-7.1072-6691https://hdl.handle.net/10877/14159In this paper, we consider the higher order neutral nonlinear difference equation Δm (x(n) + p(n)x(τ(n))) + ƒ1(n, x(σ1(n))) - ƒ2(n, x(σ2(n))) = 0, Δm (x(n) + p(n)x(τ(n))) + ƒ1(n, x(σ1(n))) - ƒ2(n, x(σ2(n))) = g(n), Δm (x(n) + p(n)x(τ(n))) + Σli=1 bi(n)x(σi(n)) = 0. We obtain sufficient conditions for the existence of non-oscillatory solutions.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalNonoscillatoryExistenceNeutral equationArticle