Existence and stability of solutions to non-linear neutral stochastic functional differential equations in the framework of G-Brownian motion
type: Item
instance of: scholarly article
title: Existence and stability of solutions to non-linear neutral stochastic functional differential equations in the framework of G-Brownian motion
zbMATH Open document ID: 1444.60070
author: Faiz Faizullah
author: Ghaus Ur Rahman
author: Muhammad Bux
author: M. A. Rana
published in: Advances in Difference Equations
publication date: 2019-01-15T00:00:00Z
Mathematics Subject Classification ID: 60H20
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 62L20
Mathematics Subject Classification ID: 60G65
Mathematics Subject Classification ID: 34K50
zbMATH DE Number: 7002501
zbMATH Keywords: stability
zbMATH Keywords: uniqueness
zbMATH Keywords: existence
zbMATH Keywords: G-Brownian motion
zbMATH Keywords: neutral stochastic functional differential equations
Wikidata QID: Q59482410
MaRDI profile type: Publication
full work available at URL: s13662-017-1400-2
OpenAlex ID: W2765548013
cites work: Optimal strategy of vaccination \& treatment in an \textit{SIR} epidemic model
cites work: Probability and Random Processes for Electrical and Computer Engineers
cites work: Stochastic Methods and Their Applications to Communications
cites work: Q3736977
cites work: Q4828411
cites work: Q4741510
cites work: Q3998788
cites work: Q4003169
cites work: Q4771592
cites work: Q5436616
cites work: Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
cites work: Pathwise properties and homeomorphic flows for stochastic differential equations driven by \(G\)-Brownian motion
cites work: Square-mean pseudo almost automorphic mild solutions for stochastic evolution equations driven byG-Brownian motion
cites work: The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion
cites work: Stochastic functional differential equations with infinite delay driven by \(G\)-Brownian motion
cites work: Existence of solutions for G-SFDEs with Cauchy-Maruyama approximation scheme
cites work: Q4369402
cites work: Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non-Lipschitz conditions
cites work: Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
cites work: Extended conditional \(G\)-expectations and related stopping times
cites work: Stopping times and related Itô's calculus with \(G\)-Brownian motion
cites work: Properties of hitting times for \(G\)-martingales and their applications
cites work: Group consensus of multi-agent systems in directed networks with noises and time delays
cites work: Distributed Control of Uncertain Systems Using Superpositions of Linear Operators
DOI: 10.1186/S13662-017-1400-2
description: scientific article; zbMATH DE number 7002501