On the non-Lipschitz stochastic differential equations driven by fractional Brownian motion
type: Item
instance of: scholarly article
title: On the non-Lipschitz stochastic differential equations driven by fractional Brownian motion
zbMATH Open document ID: 1419.60058
author: Bin Pei
author: Yong Xu
published in: Advances in Difference Equations
publication date: 2018-12-03T00:00:00Z
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 60G22
zbMATH DE Number: 6987987
zbMATH Keywords: fractional Brownian motion
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: stochastic differential equations
zbMATH Keywords: non-Lipschitz condition
MaRDI profile type: Publication
full work available at URL: s13662-016-0916-1
OpenAlex ID: W2503063380
Wikidata QID: Q59466718
cites work: Optimal Control of Stochastic Partial Differential Equations
cites work: Q4404205
cites work: Q3446272
cites work: Q3764976
cites work: Fractional Brownian Motions, Fractional Noises and Applications
cites work: FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE
cites work: Differential equations driven by rough signals
cites work: Differential equations driven by fractional Brownian motion
cites work: Stochastic calculus for fractional Brownian motion and related processes.
cites work: Stochastic Calculus for Fractional Brownian Motion and Applications
cites work: A theory of the term structure of interest rates
cites work: Successive approximations to solutions of stochastic differential equations
cites work: Pricing multi-asset options with an external barrier
cites work: On the uniqueness of solutions of stochastic differential equations. II
cites work: One Dimensional Stochastic Differential Equations with No Strong Solution
cites work: On a comparison theorem for solutions of stochastic differential equations and its applications
cites work: On the successive approximation of solutions of stochastic differential equations
cites work: On the uniqueness of solutions of stochastic differential equations
cites work: Stochastic integration with respect to fractional Brownian motion
cites work: Stochastic calculus with respect to Gaussian processes
cites work: Stochastic Calculus for Fractional Brownian Motion I. Theory
cites work: Stochastic integration with respect to the fractional Brownian motion
cites work: Forward, backward and symmetric stochastic integration
cites work: Stochastic averaging for slow-fast dynamical systems with fractional Brownian motion
cites work: Stochastic averaging principle for dynamical systems with fractional Brownian motion
cites work: An averaging principle for stochastic differential delay equations with fractional Brownian motion
cites work: Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients
cites work: The existence and uniqueness of energy solutions to local non-Lipschitz stochastic evolution equations
cites work: Approximations to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients
cites work: Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion
cites work: Existence and stability of solutions to non-Lipschitz stochastic differential equations driven by Lévy noise
DOI: 10.1186/S13662-016-0916-1
description: scientific article; zbMATH DE number 6987987