Almost Surely Asymptotic Stability of Numerical Solutions for Neutral Stochastic Delay Differential Equations

We investigate the almost surely asymptotic stability of Euler-type methods for neutral stochastic delay differential equations (NSDDEs) using the discrete semimartingale convergence theorem. It is shown that the Euler method and the backward Euler method can reproduce the almost surely asymptotic s...

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Bibliographic Details
Main Authors: Zhanhua Yu, Mingzhu Liu
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/217672