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• W1989025404 abstract "Abstract Sufficient conditions are obtained so that every solution of the neutral functional difference equation $$ Delta ^m (y_n - p_n y_{tau (n)} ) + q_n G(y_{sigma (n)} ) - u_n H(y_{alpha (n)} ) = f_n , $$ oscillates or tends to zero or ±∞ as n → ∞, where Δ is the forward difference operator given by Δx n = x n+1 − x n, p n, q n, u n, f n are infinite sequences of real numbers with q n > 0, u n ≥ 0, G,H ∈ C(ℝ,ℝ) and m ≥ 2 is any positive integer. Various ranges of {p n} are considered. The results hold for G(u) ≡ u, and f n ≡ 0. This paper corrects, improves and generalizes some recent results." @default.
• W1989025404 created "2016-06-24" @default.
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• W1989025404 date "2010-05-13" @default.
• W1989025404 modified "2023-09-26" @default.
• W1989025404 title "Oscillation of higher order neutral functional difference equations with positive and negative coefficients" @default.
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• W1989025404 doi "https://doi.org/10.2478/s12175-010-0018-6" @default.
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