P-Moment stability of functional differential equations with random impulses

Abstract

By means of Liapunov's direct method coupled with Razumikhin technique some sufficient conditions for (uniform, uniform and globally asymptotic, uniformly globally asymptotic, and globally exponential) p-moment stability of the zero solution of functional differential equations with random impulses are presented, where the parameter λ( t) in (d V( t, x( t)))/d t is not required to be negative definite. Thus the obtained results are convenient to apply.