一类一阶中立型泛函微分方程的振动性和渐近性

Asymptotic and Oscillation for a Class of First Order Neutral Functional Differential Equations

讨论了一类一阶中立型泛函微分方程非振动解的渐近性质 ,给出了该类方程非振动解收敛于零的充分条件 ,并给出了该类方程解振动的判别准则 .

The author investigates the asymptotic properties of nonoscillatory solution for a class of first order neutral functional different equations, and gives a sufficient condition for nonoscillatory solutions trending to zero,and establish a criterion of osill ation for all solutions of the such equations our results gereralize and improve some known results in the literature.