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高阶中立型时滞微分方程的渐近性与振动性
引用本文:王志斌. 高阶中立型时滞微分方程的渐近性与振动性[J]. 榆林高等专科学校学报, 2004, 14(3): 6-10
作者姓名:王志斌
作者单位:榆林学院数学系,陕西榆林719000
摘    要:得到了变系数高阶中立型时滞微分方程d^n/d^tn[x(t) p(t)x(t-τ)] ∑i=1^mQi(t)(t-бi)=0的渐近性和n为偶数时解振动的充分性判据。改进和推广了文献^[1-4]中的结果。

关 键 词:变系数中立型方程 高阶微分方程 时滞微分方程 渐近性 振动性
文章编号:1008-3871(2004)03-0006-05

Asymptotic Behavior and Oscillation of High-order Neutal Delay Differntial Equations With Variant Coefficient
WANG Zhi - bin. Asymptotic Behavior and Oscillation of High-order Neutal Delay Differntial Equations With Variant Coefficient[J]. Journal of Yulin College, 2004, 14(3): 6-10
Authors:WANG Zhi - bin
Abstract:We discussed the asgmptotic behaviol of the nonoseillatorg solutions when"n" is positive integer and obtain od some sufficient conditions when" n" is euen number of the oscillation of all solwtions for the high - order neutral delay diffgrential eguations with variant coeffieient and seveval retaded argumentsThese results futher improve some corresponding results in document[1-4].
Keywords:Neutral delay differential equations with variant coefficient  asympoic  Oscillation eriterion.
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