Results 111 to 120 of about 227 (172)

Almost Sure Exponential Stability of Neutral Differential Difference Equations. . .

open access: yes, 1996
: In this paper we shall discuss the almost sure exponential stability for a neutral differential difference equation with damped stochastic perturbations of the form d[x(t) \Gamma G(x(t \Gamma ø ))] = f(t; x(t); x(t \Gamma ø ))dt + oe(t)dw(t): Several ...
Xiao Xin Liao, Xuerong Mao
core  

Constructing quantum measurement processes via classical stochastic calculus

open access: yes
A class of linear stochastic differential equations in Hilbert spaces is studied, which allows to construct probability densities and to generate changes in the probability measure one started with.
Barchielli, A., Holevo, A. S.
core  

Optimal stopping in Hilbert spaces and pricing of American options

open access: yes, 2007
We consider an optimal stopping problem for a Hilbert-space valued diffusion. We prove that the value function of the problem is the unique viscosity solution of an obstacle problem for the associated parabolic partial differential equation in the ...
Dariusz Gatarek, Andrzej Swiech
core  

Approximations for stochastic differential equations with reflecting convex boundaries

open access: yes
We consider convergence of a recursive projection scheme for a stochastic differential equation reflecting on the boundary of a convex domain G. If G satisfies Condition (B) in Tanaka (1979), we obtain mean square convergence, pointwise, with the rate O((
Pettersson, Roger
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