带强迫项的三阶脉冲时滞微分方程的振动性与渐近性

Oscillatory and Asymptotic Properties of Third Order Impulsive Delay Differential Equations with Forcing Term

解决了一类带强迫项的三阶脉冲时滞微分方程的非振动解与其一阶、二阶导数的符号关系,得到其振动性与渐近性的判别准则,并举例说明了准则的有效性。

The sign relations between the non-oscillatory solutions for a class of third order impulsive delay differential equations with forcing term and their derived functions of first and second order are settled. Some criterions for discriminating the oscillatory and asymptotic properties of the solutions are obtained. Finally one example is given to illustrate the effective- ness of the criterions.