Invariant measures for stochastic functional differential equations

Published 15 Mar 2017 in math.PR | (1703.05120v2)

Abstract: We establish new general sufficient conditions for the existence of an invariant measure for stochastic functional differential equations and for exponential or subexponential convergence to the equilibrium. The obtained conditions extend Veretennikov--Khasminskii conditions for SDEs and are optimal in a certain sense.

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