中山大学学报（自然科学版）2012，Vol.51Issue(1)：30-34,5.
具正负系数和阻尼项的高阶微分方程的振动定理
Oscillation Theorems of Higher Order Differential Equations with Positive and Negative Coefficients and Damping Term
摘要
Abstract
The oscillation for a class of higher order nonlinear variable delay functional differential equation with positive and negative coefficients and damping term is discussed. By introducing parameter function and the generalized Riccati transformation, some criteria for the oscillation of the equation are proposed. These criteria improve the restriction of the conditions for the equation. And these results improve and generalize some corresponding known results. Some examples are given to illustrate the main results.关键词
正负系数/泛函微分方程/变时滞/阻尼项/Riccati变换/振动性Key words
positive and negative coefficient/ functional differential equation/ variable delay/ damping term/ Riccati transformation/ oscillation分类
数学引用本文复制引用
杨甲山..具正负系数和阻尼项的高阶微分方程的振动定理[J].中山大学学报（自然科学版）,2012,51(1):30-34,5.基金项目
湖南省教育厅科研基金重点资助项目(09A082) （09A082）
