南华大学学报(理工版)2002，Vol.16Issue(1)：17-21,5.
具有可和系数中立型时滞差分方程的振动性与正解的存在性（英）
Existencet of Positive Solutions and Oscillation of Neutral Delay Difference Equations with Summable Coefficients
段振华1
作者信息
- 1. 广州建筑工程学校，广东，广州，510403
- 折叠
摘要
Abstract
Consider the linear neutral delay difference equation of the form △ ( xn - pnxn- k ) +0, and k and 1 are positive integers. We establish several new sufficient conditions for the oscillation of all solutions and the existence of a positive solution when pn - 1 is allowed to oscillate and the usual divergent condition =0qn = ∞ is not satisfied.As application we may prove that every sowtion of the equation△ [ xn - esin -4k ] +ce-βnxn-1 = 0, c ＞ 0 oscillates if and only if β≤ .关键词
振动性/正解/中立型差分方程/可和系数Key words
oscillation/positive solution/neutral difference equations/summable coefficient分类
数理科学引用本文复制引用
段振华..具有可和系数中立型时滞差分方程的振动性与正解的存在性（英）[J].南华大学学报(理工版),2002,16(1):17-21,5.
