Supported by the National Basic Research Program of China (973 Program,Grant No.2007CB814901);the National Natural Science Foundation of China (Grant No.10826098);the Natural Science Foundation of Anhui Province (Grant No.090416225);Anhui Natural Science Foundation of Universities (Grant No.KJ2010A037)
Under the non-Lipschitzian condition, a small time large deviation principle of diffusion processes on Hilbert spaces is established. The operator theory and Gronwall inequality play an important role.
Project supported by National Basic Research Program of China (973 Program,No.2007CB814901);National Natural Science Foundation of China (No.10826098);Anhui Natural Science Foundation (No.090416225);Anhui Natural Science Foundation of Universities
In this paper, a class of stochastic differential equations (SDEs) driven by semi-martingale with non-Lipschitz coefficients is studied. We investigate the dependence of solutions to SDEs on the initial value. To obta...