二阶非线性阻尼脉冲时滞微分方程解的振动准则

Oscillation Criteria of Second-Order Nonlinear Impulsive Delay Differential Equations with Damping

利用了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,同时改进了一些已知的结果,最后用一个具体的例子说明了是否带有脉冲对微分方程的振动性有很大的影响.

This paper discussed 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 were obtainedour work generalizes some known results. Finally an example was presented to explain the key role of impulses in generating oscillatory.