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Stochastic delay evolution equations driven by sub-fractional Brownian motion. (English) Zbl 1343.60086
Summary: In this paper, we investigate the existence, uniqueness and exponential asymptotic behavior of mild solutions to stochastic delay evolution equations perturbed by a sub-fractional Brownian motion $$S^{H}_{Q}(t)$$: $$dX(t)=(AX(t)+f(t,X_{t}))\, dt+g(t)\, dS^{H}_{Q}(t)$$ with index $$H\in(1/2,1)$$.

##### MSC:
 60H15 Stochastic partial differential equations (aspects of stochastic analysis) 60G15 Gaussian processes 60H05 Stochastic integrals
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