Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (4): 1074-1083.

• Articles • Previous Articles     Next Articles

Large Deviations for |Solutions to Stochastic Differential Equations Driven by Semimartingale with Non-Lipschitz Coefficients

  

  1. (Department of Applied Mathematics and Physics, Anhui University of Technology and Science, Anhui Wuhu, 241000)
  • Received:2007-11-27 Revised:2008-10-24 Online:2009-08-25 Published:2009-08-25
  • Supported by:

    国家973项目(2007CB814901)、国家自然科学基金(10826098)和安徽省自然科学基金资助

Abstract:

In this paper, a class of stochastic differential equations (SDEs) driven by semimartingale with non-Lipschitz coefficients is established.   A  large deviation principle of Freidlin-Wentzell type is investigated.

Key words: Stochastic differential equations, Semimartingale, Gronwall lemma, Non-Lipschitz conditions, Large deviation

CLC Number: 

  • 60H20
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