Article ID Journal Published Year Pages File Type
1156100 Stochastic Processes and their Applications 2009 27 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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