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The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion
Authors:Yong Ren  Xuejuan Jia
Institution:Department of Mathematics, Anhui Normal University, Wuhu, China.
Abstract:In this paper, we consider a class of impulsive stochastic differential equations driven by G-Brownian motion (IGSDEs in short). By means of the G-Lyapunov function method, some criteria on p-th moment stability and p-th moment asymptotical stability for the trivial solutions of IGSDEs are established. An example is presented to illustrate the efficiency of the obtained results.
Keywords:Stochastic differential equation  G-Brownian motion  p-th moment stability  p-th moment asymptotical stability  Lyapunov function method
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