n阶非线性时滞微分方程的振动性与渐近性

Asymptotic and Oscillatory Behavior of n th Order Nonlinear Delay Differential Equations

研究了具有强迫项的ｎ项非线性时滞微分方程的解的振动性与渐近性，获得了某些充分条件．在这些条件下，如ｎ为偶数，方程的所有解振动；如ｎ为奇数，方程的每个解或者振动，或者趋于零，对文［１～２］中的定理作了较大的改进．

The asymptotic and oscillatory behavior of n th order forced delay differential equations is studied.A suffcient condition is obtained,under which all solutions of equation are oscillatory for n even,and every solution of equation either oscillatory or tends to zero,for n odd.This result improves the correrponding result in and .