Exponential stability of \(\theta\)-method for stochastic differential equations in the \(G\)-framework
From MaRDI portal
Publication:1713167
DOI10.1016/j.cam.2018.10.020zbMath1405.65016OpenAlexW2897403356WikidataQ115581053 ScholiaQ115581053MaRDI QIDQ1713167
Publication date: 24 January 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.10.020
moment exponential stability\(G\)-Brownian motionquasi sure exponential stabilitystochastic \(\theta\)-method
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items
Equivalence of \(p\)th moment stability between stochastic differential delay equations and their numerical methods ⋮ Mean square exponential stability of stochastic function differential equations in the G-framework ⋮ Equivalence of stability among stochastic differential equations, stochastic differential delay equations, and their corresponding Euler-Maruyama methods ⋮ Stability equivalence between the stochastic differential delay equations driven by \(G\)-Brownian motion and the Euler-Maruyama method ⋮ Stability analysis of Hopfield neural networks with unbounded delay driven by G-Brownian motion
Cites Work
- Unnamed Item
- Unnamed Item
- Exponential stability of solutions to impulsive stochastic differential equations driven by \(G\)-Brownian motion
- Lyapunov-type conditions and stochastic differential equations driven by \(G\)-Brownian motion
- Mean square stability of two classes of theta method for neutral stochastic differential delay equations
- Numerical simulations for \(G\)-Brownian motion
- Exponential mean square stability of numerical methods for systems of stochastic differential equations
- Convergence and stability of the split-step \(\theta \)-method for stochastic differential equations
- Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
- Weak approximation of \(G\)-expectations
- Exponential stability for stochastic differential equation driven by G-Brownian motion
- A note on \(p\)th moment estimates for stochastic functional differential equations in the framework of G-Brownian motion
- Pathwise properties and homeomorphic flows for stochastic differential equations driven by \(G\)-Brownian motion
- On representation theorem of \(G\)-expectations and paths of \(G\)-Brownian motion
- \(p\)-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
- Almost sure and moment stability properties of fractional order Black-Scholes model
- Asymptotical boundedness and stability for stochastic differential equations with delay driven by \(G\)-Brownian motion
- Exponential stability in \(p\)-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations
- Stochastic functional differential equations with infinite delay driven by G -Brownian motion
- Almost Sure Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
- A New Type of Stability Theorem for Stochastic Systems With Application to Stochastic Stabilization
- Mean square exponential stability of stochastic nonlinear delay systems
- Stepanov-like doubly weighted pseudo almost automorphic processes and its application to Sobolev-type stochastic differential equations driven byG-Brownian motion
- Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations
- Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
- Stochastic Differential Equations with Markovian Switching