文章基本信息

标题：Oscillation of solutions of some generalized nonlinear α -difference equations
本地全文：下载
作者：Mariasebastin Maria Susai Manuel ; Adem Kılıçman ; K Srinivasan 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：109
DOI：10.1186/1687-1847-2014-109
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, the authors discuss the oscillation of solutions of some generalized nonlinear α-difference equation 1 Δ α ( ℓ ) ( p ( k ) Δ α ( ℓ ) u ( k ) ) + q ( k ) f ( u ( k − τ ( k ) ) ) = 0 , k ∈ [ a , ∞ ) , where the functions p, q, f and τ are defined in their domain of definition and α > 1 , ℓ is a positive real. Further, u f ( u ) > 0 for u ≠ 0 , p ( k ) > 0 and lim k → ∞ ( k − τ ( k ) ) = ∞ , where R k = ∑ r = 0 [ k − ℓ ℓ ] 1 α r p ( r ℓ ) → ∞ as k → ∞ and u ( k ) is defined for k ≥ min i ≥ 0 ( i − τ ( i ) ) for all k ∈ [ a , ∞ ) for some a ∈ [ 0 , ∞ ) . MSC:39A12.
关键词：generalized α -difference equation ; generalized α -difference operator ; oscillation and nonoscillation