三阶非线性中立型阻尼泛函微分方程的振动性  

Oscillation of certain third-order neutral damped functional differential equations

作　　者：林文贤[1] 

机构地区：[1]韩山师范学院数学与统计学系,广东潮州521041

出　　处：《安徽大学学报（自然科学版）》2015年第3期5-9,共5页Journal of Anhui University(Natural Science Edition)

基　　金：广东省自然科学基金资助项目(10152104101000008)

摘　　要：研究一类三阶非线性中立型阻尼泛函微分方程,利用广义Riccati变换和积分平均技巧,建立了该类方程的所有解振动或收敛于零的若干新的充分条件,推广和改进最近文献的结果.In this paper,the oscillation of third-order nonlinear neutral damped functional differential equations with distributed delays was studied.By using ageneralized Riccati transformation and integral averaging technique,some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero,was established.The corresponding results in known literature were extended and improved.

关 键 词：阻尼项 三阶中立型方程 振动性 

分 类 号：O175[理学—数学]