利用Lakshmikantham等人建立的脉冲微分不等式讨论了一类二阶非线性脉冲微分方程解的振动性质,获得了此类方程振动所应具备的充分条件,改进了一些已知的结果,并用一个具体的例子说明了脉冲项对微分方程的振动性有很大的影响.
This paper discusses the oscillation of second-order nonlinear differential equations with impulses by using impulsive differential inequalities established by Lakshmikantham et al.Sufficient conditions for all solutions of the equation to be oscillated are obtained.Finally an example was presented to explain the key role of impulses in generating oscillation.