脉冲时滞微分方程的全局渐近稳定性

Global asymptotic stability of impulsive delay differential equations

研究了一类脉冲时滞微分方程,通过对其非振动解及振动解的渐近性讨论,获得了其解全局渐近稳定的充分条件.

In this paper, we investigate a class delay differential equations with impulses. Sufficient conditions for the global asymptotic stability of the equations are obtained by investigating the asymptotic behaviors of the nonoscillatory solution of the equations and then of the oscillatory solutions.