具有正负项的高阶中立型差分方程的振动性  

Oscillation of Higher-order Nonlinear Neutral Difference Equations with Positive and Negative Terms

作　　者：刘召爽 李巧銮[2] 王春娇[3] 

机构地区：[1]石家庄经济学院数理学院,河北石家庄050031 [2]河北师范大学数学与信息科学学院,河北石家庄050016 [3]燕山大学理学院,河北秦皇岛066004

出　　处：《河北师范大学学报（自然科学版）》2007年第2期155-158,共4页Journal of Hebei Normal University：Natural Science

基　　金：河北省自然科学基金(103141);河北师范大学重点基础项目(1301808)

摘　　要：讨论了具有正负项的高阶中立型差分方程Δ[anΔm-1(x(n)+pnx(n-τ))]+f(n,x(n-σ))-g(n,x(n-ρ))=0.其中:Δ是前差分算子,Δxn=xn+1-xn;m为正整数;an,pn为非负实数序列;τ,σ,ρ为非负整数;f(n,u)和g(n,v)为连续函数.建立了有界振动及有界概振动的判别准则.The oscillation of higher-order nonlinear neutral difference equations with positive and negative terms △[an△m-1（x（n）＋pnx（n-τ））]＋f（n,x（n-σ））-g（n,x（n-ρ））=0. is studied,where △ is the forward difference operator, △xn=xn＋1-xn;m is positive integer, ｜ an ｜, ｜ Pn ｜ are nonnegative real sequences,τ,σ,ρ are non-negative integers,f （n, u ） and g（n, υ） are continuous funvtions. Some criteria for bounded oscillation, bounded almost oscillation and almost oscillation for this equation are obtainned.

关 键 词：中立型差分方程 正负项 有界振动 概振动 

分 类 号：O175.7[理学—数学]