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Strong convergence rate for slow-fast stochastic differential equations with Markovian switching

Strong convergence rate for slow-fast stochastic differential equations with Markovian switching

In this paper, we study the averaging principle for a class of slow-fast stochastic differential equations with Markovian switching, where the slow component is the solution of a stochastic differential equation and the fast component is a Markov chain. Using the technique of Poisson equation and mollifying approximation, the optimal …