Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156100 | Stochastic Processes and their Applications | 2009 | 27 Pages |
Abstract
We study pathwise properties and homeomorphic property with respect to the initial values for stochastic differential equations driven by GG-Brownian motion. We first present a Burkholder–Davis–Gundy inequality and an extension of Itô’s formula for the GG-stochastic integrals. Some moment estimates and Hölder continuity of the GG-stochastic integrals and the solutions of stochastic differential equations with Lipschitzian coefficients driven by GG-Brownian motion are obtained. Homeomorphic property with respect to the initial values is also established.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Fuqing Gao,