@Article{AAM-36-426, author = {Yu , Sihui and Liu , Weiguo}, title = {Euler Approximation for Non-Autonomous Mixed Stochastic Differential Equations in Besov Norm}, journal = {Annals of Applied Mathematics}, year = {2021}, volume = {36}, number = {4}, pages = {426--441}, abstract = {

We consider a kind of non-autonomous mixed stochastic differential equations driven by standard Brownian motions and fractional Brownian motions with Hurst index $H ∈ (1/2, 1)$. In the sense of stochastic Besov norm with index $γ$, we prove that the rate of convergence for Euler approximation is $O(δ^{2H−2γ})$, here $δ$ is the mesh of the partition of $[0, T]$.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18591.html} }