Oscillation, stability, and boundedness of second-order differential systems with random impulses
The model of second-order linear differential systems with random impulses is brought forward in this paper. Then, necessary and sufficient conditions for oscillation in mean, p-moment stability and p-moment boundedness are obtained by several theorems that compare solutions of this system with the corresponding nonimpulsive differential system. At last, an example is presented to show the application of obtained results. (c) 2005 Elsevier Ltd. All rights reserved.
random impulses second-order linear differential system oscillation in mean p-moment stability p-moment boundedness