A Necessary condition on comparison theorem for one-dimensional stochastic differential equation

EDP Sciences - Tập 15 - Trang 13-15 - 2010
Shoujiang Zhao1, Fuqing Gao1
1School of Mathematics and Statistics, Wuhan University, Wuhan, China

Tóm tắt

We consider the comparison theorem of one-dimensional stochastic differential equation with non-Lipschitz diffusion coefficient. Considering the two one-dimensional stochastic differential equations as a two-dimensional equation, we present a necessary condition such that comparison theorem holds by viscosity solution approach.

Tài liệu tham khảo

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