含连续时滞和阻尼项的二阶半线性微分方程解的振动性  

Oscillation of the Solutions for Second Order Half-linear Differential Equation with Continuous Distributed Delay Arguments and Damping Terms

作　　者：高正晖[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008

出　　处：《数学的实践与认识》2010年第13期223-227,共5页Mathematics in Practice and Theory

基　　金：湖南省教育厅科研计划项目(09C171)

摘　　要：研究了一类含有连续分布时滞和阻尼项的二阶半线性微分方程运用Riccati变换和H函数方法,获得了该方程解的振动性的若干充分条件.This paper studies oscillation for the solutions of second order half-linear differential equation with continuous distributed delay arguments and damping terms. By using Riccati transformation and methods of H function, some new sufficient conditions for the oscillation of each solution of the equation are obtained.

关 键 词：二阶半线性微分方程 连续分布时滞 阻尼项 RICCATI变换 振动性 

分 类 号：O175[理学—数学]