Mean-Square Stability of Milstein Methods for Stochastic Pantograph Equations

This paper deals with nonlinear stochastic pantograph equations. For solving the equations, a class of extended Milstein methods are suggested. A mean-square stability criterion for this type of equations is presented. It is proved that under the suitable conditions the Milstein methods preserve the...

Full description

Bibliographic Details
Main Authors: Feiyan Xiao, Tingting Qin, Chengjian Zhang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/724241