具有分布时滞的偶数阶阻尼泛函微分方程的振动定理(英文)  

Oscillation Theorems for Even-order Damped Functional Differential Equations with Distributed Delay

作　　者：龙玉花[1] 刘洁纯[1] 

机构地区：[1]湖南工程学院数理系,湖南湘潭411104

出　　处：《徐州师范大学学报（自然科学版）》2008年第2期85-89,共5页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：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.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.

关 键 词：偶数阶 阻尼泛函微分方程 分布时滞 振动性 

分 类 号：O175.12[理学—数学]