\(G\)-neutral stochastic differential equations with variable delay and non-Lipschitz coefficients
DOI10.3934/dcdsb.2019241zbMath1450.34060OpenAlexW2990661833MaRDI QIDQ2301355
Publication date: 24 February 2020
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2019241
stochastic differential equations\(L^p\)-convergenceexistence and uniqueness theorem\(G\)-Brownian motionCarathéodory approximation
Brownian motion (60J65) Stochastic functional-differential equations (34K50) Neutral functional-differential equations (34K40) Averaging for functional-differential equations (34K33)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Exponential stability of solutions to impulsive stochastic differential equations driven by \(G\)-Brownian motion
- Stochastic averaging for slow-fast dynamical systems with fractional Brownian motion
- Uniqueness of the representation for \(G\)-martingales with finite variation
- On the existence and uniqueness of solutions to stochastic differential equations driven by \(G\)-Brownian motion with integral-Lipschitz coefficients
- Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
- A note on the stochastic differential equations driven by \(G\)-Brownian motion
- Local time and Tanaka formula for the \(G\)-Brownian motion
- Exponential stability for stochastic differential equation driven by G-Brownian motion
- An averaging principle for stochastic dynamical systems with Lévy noise
- Pathwise properties and homeomorphic flows for stochastic differential equations driven by \(G\)-Brownian motion
- A note on the existence and uniqueness of the solution to neutral stochastic functional differential equations with infinite delay
- The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay
- Remarks on the existence and uniqueness of the solutions to stochastic functional differential equations with infinite delay
- Martingale characterization of \(G\)-Brownian motion
- Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay
- On representation theorem of \(G\)-expectations and paths of \(G\)-Brownian motion
- Existence and uniqueness of solutions to neutral stochastic functional differential equations with infinite delay
- \(p\)-moment stability of solutions to stochastic differential equations driven by \(G\)-Brownian motion
- Existence and stability of solutions to non-linear neutral stochastic functional differential equations in the framework of G-Brownian motion
- An averaging principle for stochastic differential delay equations with fractional Brownian motion
- An averaging principle for neutral stochastic functional differential equations driven by Poisson random measure
- Some properties of stochastic differential equations driven by the \(G\)-Brownian motion
- Convergence and asymptotical stability of numerical solutions for neutral stochastic delay differential equations driven by \(G\)-Brownian motion
- Carathéodory approximations and stability of solutions to non-Lipschitz stochastic fractional differential equations of Itô-Doob type
- The averaging method for stochastic differential delay equations under non-Lipschitz conditions
- Stochastic functional differential equations with infinite delay driven by G -Brownian motion
- Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion
- Almost Periodic Solutions for Stochastic Differential Equations Driven By G-Brownian Motion
- Approximate solutions for a class of stochastic evolution equations with variable delays. II
- Apporoximate solutions for stochastic differential equations with pathwise uniqueness
- Stochastic fractional differential equations driven by Lévy noise under Carathéodory conditions
- Averaging principle for SDEs of neutral type driven by G-Brownian motion
- Stochastic averaging principles for multi-valued stochastic differential equations driven by poisson point Processes
- Approximate solutions for a class of stochastic evolution equations with variable delays
- Approximation properties for solutions to Itô–Doob stochastic fractional differential equations with non-Lipschitz coefficients
- Approximation properties for solutions to non-Lipschitz stochastic differential equations with Lévy noise
- Extension and Application of Itô's Formula UnderG-Framework
This page was built for publication: \(G\)-neutral stochastic differential equations with variable delay and non-Lipschitz coefficients