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Lyapunov exponents of PDEs driven by fractional noise with Markovian switching

Xiliang Fan and Chenggui Yuan

Statistics & Probability Letters, 2016, vol. 110, issue C, 39-50

Abstract: In this article, we study a class of stochastic parabolic equations by fractional noise with Markovian switching. Based on the explicit representation of the strong solution given by an evolution system, we investigate the pth moment and almost surely exponential stabilities with the exponential rate function t2H.

Keywords: Fractional Brownian motion; Stochastic parabolic equation; Lyapunov exponent; Stability (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1016/j.spl.2015.11.025

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