不稳定型非线性脉冲泛函差分方程的稳定性

Stability for nonlinear impulsive functional difference equation of unstable type

给出了不稳定型非线性脉冲泛函差分方程零解稳定与渐近稳定的充分条件,推广了已有文献中的结果,并通过实例说明这种稳定性是由脉冲引起的.

In this paper,sufficient condition is obtained for the stability and uniform stability of the zero of the nonlinear impulsive functional difference equation which extend the known result in the literature. Furthermore,we give an example to verify that the stability is caused by impulse.