期刊文献+

一类(QL)型随机微分方程解的轨道唯一性判别及其应用

Pathwise uniqueness for solutions of a class of stochastic differential equation and its applications
下载PDF
导出
摘要 考虑了一类拟左连续(QL)型随机微分方程(S.D.E.)解的轨道唯一性,应用随机分析方法获得了唯一性成立的一般判别定理,并在方程系数满足局部(或非)Lipschitz条件下给出了一些应用实例. The general verification theorem on pathwise uniqueness for solutions of a class quasi-left continuous (QL) type Stochastic Differential Equation (S.D.E.) is obtained by using stochastic analysis approach, and with the help of the theorem above some examples with local (or non)-Lipschitz conditions for the coefficients in the S.D.E. are provided.
出处 《纯粹数学与应用数学》 CSCD 北大核心 2008年第4期654-658,共5页 Pure and Applied Mathematics
基金 国家自然科学基金(40675023) 广西教育厅项目(2008LX018) 广西研究生教育创新计划项目
关键词 Poisson点过程 BROWNIAN运动 轨道唯一性 Poisson point process, Brownian motion, pathwise uniqueness
  • 相关文献

参考文献7

二级参考文献18

  • 1Ha Kit Sik, Kim Jai Heui. Monotone iterative technique for 1-dimensional stochastic differential equations[J]. Stochastic Anal and Appl, 1988 ;6:191 - 203
  • 2Ikeda N, Watanabe S. Stochastic differential equations and diffusion proceses[M]. Horth-Holland,1981
  • 3Bihari I A. Generalization of a lemma of bellmen and its application to uniqueness problem of S D E[J].Acta Math, 1956; 7:81 - 91
  • 4Black F,Scholes M.The pricing of options and corporate liabilities[J].Journal of Political Economy,1973,81:637-654.
  • 5Merton R C.Option pricing when underlying stock Returen are discontinuous[J].Journal of Economics,1976,3:125-144.
  • 6Joseph Stampflic,Victor Goodman.The Mathematics of Finance:Modeling and hedging[M].Beijing:China Machine Press,2004.
  • 7Lamberton D,Lapeyre B.Introduce to stochastic calculus applied to finance[M].Londom:Chapman & hall,1966.
  • 8黄志远.随机分析学基础[M].2版.北京:科学出版社,2001.
  • 9Benkherouf, L., Boumenir, A. and Aggoun, L., A diffusion inventory model for deteriorating items, Applied Mathematics and Computation, 138(2003), 21-39.
  • 10Candenillas, A. and Zapatero, F., Classical and impulse stochastic control of the exchange rate using interest rates and reserves, Mathematical Finance, 10(2000), 141-156.

共引文献9

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部