具有正负系数的中立型微分方程解的渐近性

Asymptotic Behavior of Solutions of Neutral Delay Differential Equations with Positive and Negative Coefficients

考虑具有正负系数的中立型微分方程 ,利用李雅普诺夫方法来研究方程解的渐近性 ,获得了方程的每一解当 t→∞时趋于一个常数的充分条件 。

We consider the neutral delay differential equations with positive and negative coefficients.We make use of Liapunov' method to study the asymptotic behavior of solutions.We obtain some sufficient conditions for that every solution tends to constant as t→∞ ,and improve the results of some literatures.