二阶脉冲多时滞微分方程的强迫振动

Oscillation of Impulses Functional Differential Equations with Forcing Term

利用比较定理和Kartsatos技巧,研究了一类较广泛的带强迫项的脉冲多时滞微分方程解的振动性问题,给出了保证解振动的几个充分条件,推广了已有的定理.

In this paper,oscillation of second order nonlinear impulsive differential equations with several delay is investigated by Riccati transformation techniques and Kartsatos techniques. By comparing the impulsive differential equation with the corresponding nonimpulsive differential equation,some sufficient conditions of oscillation for all solutions are obtained.Example is given to show that the impulses play a dominant part in oscillations of impulsive differential equations.