Mathematica Slovaca | |
Oscillation of higher order neutral functional difference equations with positive and negative coefficients | |
R. Rath1  S. Rath1  B. Barik1  | |
关键词: oscillatory solution; nonoscillatory solution; asymptotic behaviour; difference equation; | |
DOI : 10.2478/s12175-010-0018-6 | |
学科分类:数学(综合) | |
来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute | |
【 摘 要 】
Sufficient conditions are obtained so that every solution of the neutral functional difference equation $$Delta ^m (y_n - p_n y_{au (n)} ) + q_n G(y_{sigma (n)} ) - u_n H(y_{alpha (n)} ) = f_n ,$$ 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(â„,â„) 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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912080690800ZK.pdf | 412KB | download |