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On backward stochastic differential equations approach to valuation of American options
Backward stochastic differential equation Obstacle problem American option
2011/2/24
We consider the problem of valuation of American (call and put) options written on a dividend paying stock governed by the geometric Brownian motion. We show that the value function has two different ...
Stability of stochastic differential equations driven by variants of stable processes
Stability of stochastic differential equations variants of stable processes
2010/12/14
In this paper we investigate two variants of stable processes, namely tempered stable sub-
ordinators and modified tempered stable process as well as their renormalization. We study
the weak converg...
Anticipative Stochastic Differential Equations with Non-smooth Diffusion Coefficient
Non-smooth and anticipative stochastic differential equations Skorohod integral Malliavin derivative
2007/12/11
In this paper we prove the existence and uniqueness of the solutions to the one-dimensional linear stochastic differential equation with Skorohod integral $$\ \ X_t(\omega )=\eta (\omega )+ \int^t_0 a...