Stabilité d'un type élémentaire d'équations diffé rentielles stochastiques à bruits vectoriesl

1 January 1981

journal article
research article
Published by Taylor & Francis in Stochastics

Vol. 4 (3) , 205-213
https://doi.org/10.1080/17442508108833163

Abstract

The stability of an elementary type of stochastic differential equations driven by multidimensional noises is explained by using non-commutative power series.

Keywords

This publication has 11 references indexed in Scilit:

Free systems of vector fields
Arkiv för Matematik, 1978
Modeling and analysis of stochastic differential equations driven by point processes
IEEE Transactions on Information Theory, 1978
Smooth representation of systems with differentiated inputs
IEEE Transactions on Automatic Control, 1978
On the Gap Between Deterministic and Stochastic Ordinary Differential Equations
The Annals of Probability, 1978
Iterated path integrals
Bulletin of the American Mathematical Society, 1977
Hypoelliptic differential operators and nilpotent groups
Acta Mathematica, 1976
Stochastic differential equations
Journal of Multivariate Analysis, 1975
White noise analysis and nonlinear filtering problems
Applied Mathematics & Optimization, 1975
On the relation between ordinary and stochastic differential equations
International Journal of Engineering Science, 1965
Integration of Paths, Geometric Invariants and a Generalized Baker- Hausdorff Formula
Annals of Mathematics, 1957