Exponential stability of the split-step \(\theta \)-method for neutral stochastic delay differential equations with jumps
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Publication:1740134
DOI10.1016/j.amc.2017.06.034zbMath1426.65009OpenAlexW2740332009WikidataQ115598219 ScholiaQ115598219MaRDI QIDQ1740134
Chaolong Zhang, Haoyi Mo, Fei Qi Deng
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.06.034
almost sure exponential stabilityexponential mean-square stabilityneutral stochastic delay differential equations with jumpsstochastic split-step \(\theta \)-method
Stochastic functional-differential equations (34K50) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
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Stabilization of stochastic regime-switching Poisson jump equations by delay feedback control ⋮ Improving split-step forward methods by ODE solver for stiff stochastic differential equations ⋮ Convergence of the split-step \(\theta\)-method for stochastic age-dependent population equations with Markovian switching and variable delay ⋮ A stabilization analysis for highly nonlinear neutral stochastic delay hybrid systems with superlinearly growing jump coefficients by variable-delay feedback control ⋮ Tamed EM schemes for neutral stochastic differential delay equations with superlinear diffusion coefficients ⋮ On stability of solutions of stochastic delay differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Mean square stability of two classes of theta method for neutral stochastic differential delay equations
- Exponential mean square stability of numerical methods for systems of stochastic differential equations
- Existence and uniqueness of solutions to neutral stochastic functional differential equations with Poisson jumps
- Convergence and stability of the split-step theta method for stochastic differential equations with piecewise continuous arguments
- Convergence and stability of the split-step \(\theta \)-method for stochastic differential equations
- Mean-square stability of semi-implicit Euler method for nonlinear neutral stochastic delay differential equations
- MS-stability of the Euler--Maruyama method for stochastic differential delay equations
- Mean-square convergence of drift-implicit one-step methods for neutral stochastic delay differential equations with jump diffusion
- Almost sure exponential stability of numerical solutions for stochastic delay differential equations
- Convergence and stability of the split-step backward Euler method for linear stochastic delay integro-differential equations
- The semi-implicit Euler method for stochastic differential delay equation with jumps
- Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay
- Convergence of numerical solutions to neutral stochastic delay differential equations with Markovian switching
- On mean-square stability of two-step Maruyama methods for nonlinear neutral stochastic delay differential equations
- On mean square stability and dissipativity of split-step theta method for nonlinear neutral stochastic delay differential equations
- Numerical solutions to neutral stochastic delay differential equations with Poisson jumps under local Lipschitz condition
- Almost sure exponential stability of numerical solutions for stochastic delay differential equations with jumps
- Mean square stability and dissipativity of two classes of theta methods for systems of stochastic delay differential equations
- Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations
- The stability of neutral stochastic delay differential equations with Poisson jumps by fixed points
- New results on delay-dependent stability analysis for neutral stochastic delay systems
- Split-step \({\theta}\)-method for stochastic delay differential equations
- Dynamic systems with Poisson white noise
- Compensated stochastic theta methods for stochastic differential delay equations with jumps
- Strong convergence of split-step theta methods for non-autonomous stochastic differential equations
- The improved split-step backward Euler method for stochastic differential delay equations
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- Asymptotic properties of neutral stochastic differential delay equations
- Almost sure and mean square exponential stability of numerical solutions for neutral stochastic functional differential equations
- Preserving exponential mean square stability and decay rates in two classes of theta approximations of stochastic differential equations
- Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
- Mean-square stability of the Euler–Maruyama method for stochastic differential delay equations with jumps
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