二阶非线性脉冲时滞微分方程的渐近性

摘要

利用数学分析的技巧得出了两个引理,利用引理研究了二阶非线性脉冲时滞微分方程解的渐近形态,得到了当t→＋∞时,方程的所有非振动解都趋于零的条件。%In this paper, two lemmas are given by mathematic analysis technique and so asymptotic behavior of solutions of a kind of second order nonlinear functional differential equation with impulses is studied,sufficient conditions of the equation are obtained to guarantee that the nonoscillatory solutions cantend to zero as t tend to＋∞.