具有分布偏差变元的偶数阶中立型阻尼泛函微分方程的振动准则(英文)  

Oscillatory Criteria for a Class of Even Order Neutral Damped Differential Equations With Distributed Deviating Arguments

作　　者：陈大学[1,2] 周树清[2] 龙玉花[1] 

机构地区：[1]湖南工程学院数理系,湘潭湖南411104 [2]湖南师范大学数学与计算机科学学院,长沙湖南410081

出　　处：《数学进展》2008年第5期551-560,共10页Advances in Mathematics（China）

基　　金：the NSFC(No.A0324632);the Scientific Research Fund of Hunan Province Education Department of P.R.China(No.06C242).

摘　　要：考虑一类具有分布偏差变元的偶数阶中立型阻尼泛函微分方程的振动性,利用积分平均技巧和Riccati变换,获得了该类方程振动的几个准则,推广了现有文献的一些结果,并给出了几个应用实例.In this paper, by means of the Riccati transformation technique and the integral averaging technique, we establish some oscillatory theorems for certain even order neutral damped differential equations with distributed deviating arguments, and extend several known results. Some examples are provided to illustrate our main results.

关 键 词：振动性 中立型阻尼泛函微分方程 分布偏差变元 

分 类 号：O175.12[理学—数学]