Viability for stochastic differential equations driven by \(G\)-Brownian motion
type: Item
instance of: scholarly article
title: Viability for stochastic differential equations driven by \(G\)-Brownian motion
zbMATH Open document ID: 1418.60095
author: Peng Luo
author: Falei Wang
published in: Journal of Theoretical Probability
publication date: 2019-02-13T00:00:00Z
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 7021517
zbMATH Keywords: stochastic viability
zbMATH Keywords: stochastic differential equation
zbMATH Keywords: stochastic tangent set
zbMATH Keywords: \(G\)-Brownian motion
MaRDI profile type: Publication
full work available at URL: s10959-017-0791-z
OpenAlex ID: W2761878242
cites work: Q3971014
cites work: Stochastic nagumo's viability theorem
cites work: The viability theorem for stochastic differential inclusions2
cites work: Set-valued analysis
cites work: On the existence and uniqueness of solutions to stochastic differential equations driven by \(G\)-Brownian motion with integral-Lipschitz coefficients
cites work: Existence of stochastic control under state constraints
cites work: Viability of moving sets for stochastic differential equation.
cites work: Viability property for a backward stochastic differential equation and applications to partial differential equations
cites work: Viability for differential equations driven by fractional Brownian motion
cites work: Stochastic viability for compact sets in terms of the distance function
cites work: Stochastic viability of convex sets
cites work: Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
cites work: A theoretical framework for the pricing of contingent claims in the presence of model uncertainty
cites work: Pathwise properties and homeomorphic flows for stochastic differential equations driven by \(G\)-Brownian motion
cites work: On representation theorem of \(G\)-expectations and paths of \(G\)-Brownian motion
cites work: On the comparison theorem for multidimensional BSDEs
cites work: Some properties of stochastic differential equations driven by the \(G\)-Brownian motion
cites work: Stopping times and related Itô's calculus with \(G\)-Brownian motion
cites work: Lyapunov-type conditions and stochastic differential equations driven by \(G\)-Brownian motion
cites work: On the comparison theorem for multi-dimensional \(G\)-SDEs
cites work: Q4284180
cites work: Q5839061
cites work: Deterministic characterization of viability for stochastic differential equation driven by fractional Brownian motion
cites work: Filtration consistent nonlinear expectations and evaluations of contingent claims
cites work: Nonlinear expectations and nonlinear Markov chains
cites work: Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations
cites work: Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations
DOI: 10.1007/S10959-017-0791-Z
description: scientific article; zbMATH DE number 7021517