摘要
利用Riccati变换和积分平均方法,研究了一类具有阻尼项的二阶非线性方程的解为振动的若干充分条件,建立了一些判定上述方程为振动的充分准则。
By the generalized Riccati transformation and the integral averaging technique.Some sufficient conditions of oscillation of the solutions for second order nonlinear differential equations with damping were discussed.Some sufficient oscillation criteria for previous equations were built up.Some oscillation criteria have been expanded and strengthened in some other known results.
出处
《应用数学和力学》
EI
CSCD
北大核心
2005年第4期403-410,共8页
Applied Mathematics and Mechanics
基金
广东省自然科学基金资助项目
关键词
二阶非线性阻尼方程
振动性
RICCATI变换
积分平均技巧
second order nonlinear differential equation with damping
oscillation
Riccati transformation
integral averaging technique
