一类二阶非线性时滞微分方程的振动性定理

摘要

研究了一类二阶非线性时滞微分方程x″(t)+F(t,x(t),x(τ(t)),x′(t),x′(τ(t)))=0,t∈[t0，∞）解的振动性，借助于一类特殊的Riccati变换，得到了该方程振动的一个简单而又直接的判别准则.%In this paper, the authors study the oscillatiory behavi or ofcer tain class of second order nonlinear delay differential equation x″(t)+F(t,x( t),x(τ(t)),x′(t),x′(τ(t)))=0,t∈[t0，∞）. By using a particular Riccat i t ransformation, the authors obtain an simple and direct oscillation criterion for the above equatin.