期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Oscillation of First Order Neutral Difference Equations with Continuous Arguments
摘要/Abstract
研究了具有连续变量的一阶中立型差分方程的振动性.在中立项系数p>1和0≤p<1这2种情形下,利用积分变换,将此类差分方程变换为相应的微分方程或微分不等式,得出了新变量的一些重要性质;然后用反证法和构造序列的方法,同时运用微分方程理论中的一些重要成果,得出了差分方程解振动的若干充分条件,并给出具体实例加以说明.
The oscillation of first order neutral difference equations with continuous arguments isinvestigated when the neutral coefficient 0 ≤p < 1and p> 1. First,several lemmas are given by usingthe integral transformations,so that the difference equations are converted into the corresponding differential equations and inequalities,and some important properties of new variable are obtained.Then,with the help of some good results of differential equations theory,some sufficient conditions forall solutions of the equations to be oscillatory are obtained,moreover,some examples are given. Theway is to proof by contradiction and construct sequence.