标题： 一类具有离散和分布时滞的脉冲中立型微分方程的渐近稳定性和指数稳定性 显示英文标题

标题： Asymptotic stability and exponential stability for a class of impulsive neutral differential equations with discrete and distributed delays

摘要： 本文提出了脉冲中立型微分方程离散和分布时滞渐近稳定性和指数稳定性的充分条件。我们的方法基于不动点理论，不依赖于任何李雅普诺夫函数或李雅普诺夫泛函。我们的条件不要求时滞的可微性，也不要求系数函数具有固定的符号。我们的结果改进了文献中的一些先前结论。例子用来说明我们的主要结果。 显示英文摘要

摘要： In this paper, we present sufficient conditions for asymptotic stability and exponential stability of a class of impulsive neutral differential equations with discrete and distributed delays. Our approaches are based on the method using fixed point theory, which do not resort to any Lyapunov functions or Lyapunov functionals. Our conditions do not require the differentiability of delays, nor do they ask for a fixed sign on the coefficient functions. Our results improve some previous ones in the literature. Examples are given to illustrate our main results.