Asymptotical Behavior for a Second Order Linear Ordinary DifferentialEquation with Impulses
一类二阶线性脉冲微分方程解的渐近性态

The structure and asymptotical behavior of solutions for a secondorder linear ordinary differential equation with impulses$$\left(r(t)u^{\prime}\right)^{\prime}=\sum\limits_{n=1}^{\infty}a_n\delta\left(t-t_n\right)u(t)$$are investigated, where $\delta (t)$ is the Dirac $\delta$-function, and $0\leqt_00$ for $n \in \mbox{\boldmath{$N$}}$, and $r(t)>0$ is a continuous function on$t_0,+\infty)$