The authors prove exponential ergodicity in Wasserstein distance for regime-switching neutral stochastic functional differential equations with infinite delay, using coupling for finite states and Lyapunov functions plus M-matrix theory for infinite states.
Neutral stochastic functional differential equations driven by a fractional brownian motion in a Hilbert space.Statistics&probability letters, 82(8):1549–1558
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Ergodicity for regime-switching neutral stochastic functional differential equations with infinite delay
The authors prove exponential ergodicity in Wasserstein distance for regime-switching neutral stochastic functional differential equations with infinite delay, using coupling for finite states and Lyapunov functions plus M-matrix theory for infinite states.