一类二阶非线性中立型微分方程非振动解的渐近性质

Asymptotic Behavior for Non-oscillatory Solutions of Second Order Neutral Nonlinear Differential Equation

利用Bellman-B ihari积分不等式,讨论了二阶非线性中立型微分方程,(x(t)+px(t-τ))″=f(t,x(t),x(′t)),t≥1,τ>0(f∈C[[1,∞)×R×R,R])解的渐近质,得到了方程解渐近于直线的一个充分条件.

This paper discusses the asymptotic behavior of non-oscillatory solutions of second order neutral nonlinear differential equationusing the Bellman-Bihari inequality.A sufficient condition for the asymptotic behavior of non-oscillatory solutions of equation is obtained.