具连续分布滞量一阶中立型泛函微分方程的渐近性与振动性

ASYMPTOTIC AND OSCILLATORY BEHAVIORS OF FIRST ORDER NFDE WITH CONTINUOUS DISTRIBUTED DEVIATING ARGUMENTS

文中研究了某类一阶连续分布滞量的中立型泛函微分方程解的振动性质。给出了该类方程的所有非振动解当ｔ无限增大时收敛于零的充分条件，得到了其所有解都振动的判据。

Consider the following first order neutral functional differential equations(simply NFDE)sufficient conditions are given which ensusre the all nonoscillatocy solutions ofEquation(1)or(2)tend to zero as t→+∞. Criteria are also obtained for allsolutions of Equation(1)or(2)to oscillate.