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三阶非线性中立型阻尼泛函微分方程的振动性
引用本文:林文贤.三阶非线性中立型阻尼泛函微分方程的振动性[J].安徽大学学报(自然科学版),2015(3):5-9.
作者姓名:林文贤
作者单位:韩山师范学院数学与统计学系,广东潮州,521041
基金项目:广东省自然科学基金资助项目
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.

关 键 词:阻尼项  三阶中立型方程  振动性

Oscillation of certain third-order neutral damped functional differential equations
LIN Wen-xian.Oscillation of certain third-order neutral damped functional differential equations[J].Journal of Anhui University(Natural Sciences),2015(3):5-9.
Authors:LIN Wen-xian
Abstract:In this paper ,the oscillation of third‐order nonlinear neutral damped functional differential equations with distributed delays was studied .By using a generalized Riccati transformation and integral averaging technique ,some new sufficient conditions w hich insure that any solution of this equation oscillates or converges to zero ,was established . The corresponding results in known literature were extended and improved .
Keywords:damping terms  third-order neutral equations  oscillation
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