Convergence and asymptotical stability of numerical solutions for neutral stochastic delay differential equations driven by G-Brownian motion
- 21 January 2018
- journal article
- research article
- Published by Springer Science and Business Media LLC in Computational and Applied Mathematics
- Vol. 37 (4), 4301-4320
- https://doi.org/10.1007/s40314-018-0581-y
Abstract
No abstract availableKeywords
Funding Information
- National Natural Science Foundation of China (11671149)
- Natural Science Foundation of Guangdong Province (2017A030312006)
This publication has 29 references indexed in Scilit:
- Exponential stability for stochastic differential equation driven by G-Brownian motionApplied Mathematics Letters, 2012
- Weak approximation of G-expectationsStochastic Processes and their Applications, 2012
- Stochastic stability and bifurcation analysis on Hopfield neural networks with noiseExpert Systems with Applications, 2011
- Convergence of the semi-implicit Euler method for neutral stochastic delay differential equations with phase semi-Markovian switchingApplied Mathematical Modelling, 2011
- Mean-square stability of semi-implicit Euler method for nonlinear neutral stochastic delay differential equationsApplied Numerical Mathematics, 2011
- Function Spaces and Capacity Related to a Sublinear Expectation: Application to G-Brownian Motion PathsPotential Analysis, 2010
- On representation theorem of G-expectations and paths of G-Brownian motionActa Mathematicae Applicatae Sinica, English Series, 2009
- Mean square convergence of one-step methods for neutral stochastic differential delay equationsApplied Mathematics and Computation, 2008
- Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential EquationsSIAM Journal on Numerical Analysis, 2007
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential EquationsSIAM Journal on Numerical Analysis, 2002