On lipschitz continuity of the solution mapping to the skorokhod problem, with applications

Author:

Dupuis Paul1,Ishii Hitoshi2

Affiliation:

1. a Department of Mathematics and Statistics , University of Massachusett , Amherst, Massachusetts, 01003, USA

2. b Department of Mathematics , Chuo University , Bunkyo–ku, Tokyo, 112, Japan

Publisher

Informa UK Limited

Reference19 articles.

1. Small Random perturbation of dynamical systems with reflecting boundary

2. Bernard , A. and El Kharroubi , A. 1991. “Regulation de processus dans le premier orthant de Rn”. Vol. 34, 149–167. to appear in Stochastics

3. Billingsley , P . 1968. “Convergence of Probability Measures”. New York: John Wiley.

4. Chen , H. and Mandelbaum , A. “Discrete flow networks: Bottleneck analysis and fluid approximations”. Submitted

5. Costantini , C. 1987. “The Skorokhod oblique reflection problem and a diffusion approximation for a class of transport processes Ph.D. thesis University of Wiscosin”. Madison, WI

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