线性时滞脉冲微分方程的振动性
Oscillation of a Linear Delay Impulsive Differential Equation
摘要：
本文的主要结果是脉冲时滞微分方程$\dot {x}(t)+\sum_{k=1}^m A_k(t)x[h_k(t)]=0,~~t\geq 0$，$x(τ_j)=B_jx(τ_j-0), \lim τ_j = \infty$的振动性（非振动性）等价于无脉冲的方程$\dot {x}(t)=\sum_{k=1}^m A_k(t) \prod_{h_k(t)<τ_j\leq t} B_j^{-1}x[h_k(t)]=0, t \geq 0$的振动性（非振动性）.显式振荡结果。
英文摘要：
The main result of the paper is that the oscillation (non-oscillation) of the impulsive delay differential equation $\dot {x}(t)+\sum_{k=1}^m A_k(t)x[h_k(t)]=0,~~t\geq 0$, $x(τ_j)=B_jx(τ_j-0), \lim τ_j = \infty$ is equivalent to the oscillation (non-oscillation) of the equation without impulses $\dot {x}(t)=\sum_{k=1}^m A_k(t) \prod_{h_k(t)<τ_j\leq t} B_j^{-1}x[h_k(t)]=0, t \geq 0$. Explicit oscillation results are presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
