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具有分布时滞的偶数阶阻尼泛函微分方程的振动定理
引用本文:龙玉花,刘洁纯.具有分布时滞的偶数阶阻尼泛函微分方程的振动定理[J].徐州师范大学学报(自然科学版),2008,26(2):85-89.
作者姓名:龙玉花  刘洁纯
作者单位:湖南工程学院,数理系,湖南,湘潭,411104
基金项目:Fund item: Research supported by the Scientific Research Education Foundation of Hu'nan(06C242)
摘    要:考虑一类具有分布时滞的偶数阶阻尼泛函微分方程的振动性.利用积分平均技术和广义Riccati变换,获得了该类方程振动的几个定理,并给出了应用实例.

关 键 词:偶数阶  阻尼泛函微分方程  分布时滞  振动性

Oscillation Theorems for Even-order Damped Functional Differential Equations with Distributed Delay
LONG Yu-hua,LIU Jie-chun.Oscillation Theorems for Even-order Damped Functional Differential Equations with Distributed Delay[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(2):85-89.
Authors:LONG Yu-hua  LIU Jie-chun
Institution:(Department of Mathematics and Physics,Hu'nan Institute of Engineering,Xiangtan,Hu'nan,411104,China)
Abstract:In this paper,the oscillation of certain even-order damped functional differential equations with distributed delays is considered,and several oscillation criteria are obtained for such a class of differential equations using the intergral averaging technique and the generalized Riccati transformation.An example to illustrate our results is also given.
Keywords:even order  damped functional differential equation  distributed delay  oscillation
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