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Pathwise Uniqueness of the Solutions toVolterra Type Stochastic DifferentialEquations in the Plane

Pathwise Uniqueness of the Solutions toVolterra Type Stochastic DifferentialEquations in the Plane
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摘要 In this paper we prove the pathwise uniqueness of a kind of two-parameter Volterra type stochastic differential equations under the coefficients satisfy the non-Lipschitz conditions. We use a martingale formula in stead of Ito formula, which leads to simplicity the process of proof and extends the result to unbounded coefficients case. In this paper we prove the pathwise uniqueness of a kind of two-parameter Volterra type stochastic differential equations under the coefficients satisfy the non-Lipschitz conditions. We use a martingale formula in stead of Ito formula, which leads to simplicity the process of proof and extends the result to unbounded coefficients case.
作者 让光林 徐侃
出处 《Northeastern Mathematical Journal》 CSCD 2003年第4期306-310,共5页 东北数学(英文版)
基金 Foundation item: Hubei University Youngth Foundations (099206).
关键词 pathwise uniqueness of solutions volterra type stochastic differential equation martingale formula TWO-PARAMETER pathwise uniqueness of solutions, volterra type stochastic differential equation, martingale formula, two-parameter
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