文章基本信息

标题：New oscillation theorems for second order quasi-linear difference equations with sub-linear neutral term
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作者：M. Nazreen Banu ; S. Mehar Banu
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：472
DOI：10.1186/s13662-018-1932-0
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, the authors obtain some new sufficient conditions for the oscillation of all solutions of the second order neutral difference equation Δ ( a n ( Δ z n ) β ) + q n x n − ℓ γ = 0 , n ≥ n 0 , $$\Delta \bigl( a_{n} ( \Delta z_{n} )^{\beta} \bigr) + q_{n}x_{n - \ell}^{\gamma} = 0,\quad n \ge n_(, $$ where z n = x n + p n x n − k α $z_{n} = x_{n} + p_{n}x_{n - k}^{\alpha} $ . The established results extend, unify and improve some of the results reported in the literature. Examples are provided to illustrate the importance of the main results.
关键词：Oscillation ; Quasi-linear difference equations ; Sub-linear neutral term