Abstract
In this article, we are concerned with a class of one-dimensional fourth order stochastic Anderson models with double-parameter fractional noises with Hurst parameter . The unique solution is constructed for the model in some appropriate Hilbert space. On the other hand, we shall estimate the Lyapunov exponent of the solution and study its regularity.
Mathematics Subject Classification:
This work is supported partially by the LPMC at Nankai University and the NSF of China (No. 10471003). The authors would like to thank the referee for his suggestions to improve the article.