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The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion

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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… Click to show full 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: moment; stochastic differential; equations driven; differential equations; impulsive stochastic; stability

Journal Title: Applicable Analysis
Year Published: 2017

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