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随机微分方程的拟比较定理 被引量:1

Quasi-comparison Theorem of Stochastic Differential Equations
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摘要 讨论了随机微分方程的拟比较定理,即给出一种比较方法,对于两个任意维数的随机微分方程,比较一下两个方程的解,发现在一定条件下都会有类似于比较定理的关系成立. Quasi-comparison theorem of stochastic differential equations(SDE) was studied,namely,a comparison method was introduced. By comparing the solution of two arbitrary dimensional SDEs using this method,it was found that the relation being similar to the comparison theorem was tenable in a fixed condition.
出处 《天津师范大学学报(自然科学版)》 CAS 2005年第1期40-42,共3页 Journal of Tianjin Normal University:Natural Science Edition
关键词 随机微分方程 拟比较定理 向量 stochastic differential equation quasi-comparison theorem vector
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参考文献3

  • 1Ikeda N, Watanable S. Stochastic differential equations and diffusion process [ M ]. Oxford, New York, Amsterdam:North-holland Publishing Company, 1981.
  • 2Geib C, Manthey R. Comparison theorem for stochastic differential equations in finite and infinite dimensions [J ].Stochastic Processes and Their Application, 1994,53 : 23-- 35.
  • 3Φ ksendal. Stochastic Differential Equations (Fifth Editon)[M]. Rome: Stringer,1998.

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