一类带强迫项的二阶脉冲时滞微分方程的振动性

Oscillation of a Class Second Order Impulsive Delay Differential Equations with Forcing Term

给出引理解决了一类带强迫项的二阶脉冲时滞微分方程的非振动解与其导数的符号关系,得到其振动性与渐近性的判别准则,并举例说明准则的有效性。

A lemma is presented to deal with the sign relation of the non - oscillatory solutions and their derivtives, which is belong to a class of second order impulsive delay differential equations with forcing term. Some criterions for discrimination of the oscillations of the solutions of the equations are obtained. Finally,an example is given to demonstrate the effectiveness of the criterions.