二阶脉冲中立型时滞微分方程解的渐近性

Asymptotic Behavior of Solutions to Second-order Neutral Delay Differential Equations with Impulses

本文研究一类二阶脉冲中立型时滞微分方程解的渐近性质.利用一个重要的脉冲微分不等式和一些不等式技巧,并利用经典Riccati变换,获得了该方程所有解趋于零的充分条件,从而改进并推广了现有文献的主要结果.通过两个实例,说明所得定理在应用中的有效性.

In this paper, we study the asymptotic behavior of all solutions to the second-order neutral differential equations with impulses. By using an important impulse differential inequality and some inequality techniques, as well as the Riccati transformation, we establish the sufficient conditions for the solution x（t） to the equation with limt→∞x（t）=0. These results improve and generalize the main results in the previous literature. We illustrate the practical effectiveness of our main theorems in view of two examples.