高阶非线性时滞中立型微分方程解的渐近性态

Asymptotic Behavior of Solutions to Higher Order Nonlinear Neutral Delay Differential Equation

本文研究一类高阶非线性时滞中立型微分方程的解的渐近性态,给出了该方程的解是振动的,或者趋于零,或者趋于无穷的条件.并推广了J.R.Graef等的工作.

This paper studies the asymptotic behavior of the solutions to a higher order nonlinear neutral delay differential equation. Some conditions are precented under which every solution of the equation is oscillatory, either tending to zero or tending to infinity as t tends to infinity. In some sense, the results are an extension of those obtained by John. R. Graef et al.