For time-inhomogeneous slow-fast SDEs, the slow component converges to an averaged equation at explicit rates governed by a decay function alpha(t), with periodic and convergent coefficients as special cases.
Bréhier: Orders of convergence in the averaging pri nciple for SPDEs: the case of a stochastically forced slow component, Stochastic Process
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Averaging principles for time-inhomogeneous multi-scale SDEs via nonautonomous Poisson equations
For time-inhomogeneous slow-fast SDEs, the slow component converges to an averaged equation at explicit rates governed by a decay function alpha(t), with periodic and convergent coefficients as special cases.