Practical stability in relation to a part of variables for stochastic reaction–diffusion systems driven by G-Brownian motion

Abstract

The main purpose of this paper is to investigate the practical stability in relation to a part of the variables of stochastic reaction–diffusion systems driven by G-Brownian motion (G-SRDSs, in short). With the aid of G-Lyapunov techniques and G-Itô's formula, the criteria of the global practical uniform kth moment exponential stability and the global practical uniform quasi surely exponential stability in relation to a part of variables of G-SRDSs are established. An example is given to illustrate the usefulness and feasibility of the proposed results.