一类二阶中立型非线性阻尼泛函微分方程的振动准则  

Oscillatory Criteria of a Glass of Second Order Neutral Type Nonlinear Damping Functional Differential Equations

作　　者：陈大学[1] 周树清[2] 龙玉花[1] 

机构地区：[1]湖南工程学院数理系,湖南湘潭411104 [2]湖南师范大学数学系,湖南长沙410081

出　　处：《湖南工程学院学报（自然科学版）》2006年第3期68-72,共5页Journal of Hunan Institute of Engineering(Natural Science Edition)

基　　金：国家自然科学数学天元基金资助项目(A0324632)

摘　　要：考虑一类二阶中立型非线性阻尼微分方程的振动性,通过广义R iccati变换、引入参数函数和采用积分平均技巧,获得了该类方程所有解振动的几簇充分条件,并推广了现有文献的一些结果.Considering the oscillation of a glass of second order neutral type nonlinear daming functional differential equations, and by making use of generalized Riccati transformation, introducing parameter function H（ t, s） and using integral averaging technique, several classes of sufficient conditions for the oscillation of all of its solutions are obtained. Some known results in the literature are also extended in this paper.

关 键 词：中立型泛函微分方程 阻尼项 振动性 

分 类 号：O175.12[理学—数学]